Pipe and Cistern Practice Sheet PDF

Join Telegram- Maths by Aditya Ranjan Pipe & Cistern Pipe & Cistern@uy vkSj Vadh (Practice Sheet With Solution) 1. A pump can fill a tank with water in 2 h. Because 5. A pipe can fill a tank in x ho...

Join Telegram- Maths by Aditya Ranjan Pipe & Cistern Pipe & Cistern@uy vkSj Vadh (Practice Sheet With Solution) 1. A pump can fill a tank with water in 2 h. Because 5. A pipe can fill a tank in x hours and another 7 pipe can empty it in y hours. Here y>x. If both of a leak in the tank, it takesh to fill the tank. the pipes are kept open simultaneously in how 3 many hours will the tank be filled? The leak can empty the filled tank in ___. ,d ikbi ,d VSad dks x ?kaVs esa Hkj ldrk gS vkSj nwljk ,d iai fdlh Vadh dks 2 ?kaVs esa ikuh ls Hkj ldrk gSA ikbi bls y ?kaVs esa kyh dj ldrk gSA y;gk¡ > x ;fn 7 VSad esa fjlko ds dkj.k] VSad dks Hkjus ?kaVs esa yxrs gSaA nksuksa ikbiksa dks ,d lkFk ksy fn;k tk, rks Vadh fdru 3 r fjlko Hkjs VSad dks ------------ esa kyh dj ldrk gSA ?kaVs esa Hkj tk,xh\ si (a) 8 hours (b) 7 hours (a) (x – y) hours (b) (y – x) hours (c) 213 hours (d) 14 hours  yx   xy  an by 2. A tank can be filled by a pipe A in 2 h and pipe (c)   hours 1 – x  (d)   hours  B in 6 h. At 10 am pipe A was opened. At what   y – x  n time will the tank be filled if pipe B is opened 6. A water tank has two pipes. the empty tank at 11 am? filled in 12 min by the first and the full tank ,d VSad dks ikbiA }kjk 2 ?kaVs esa vkSjBikbi }kjk 6 ja is emptied by the second in 20 min. Calculate R s ?kaVs esa Hkjk tk ldrk gSA iwokZgu 10 Actsdksikbi the time required to fill half tank when both the pipes are opened. ksyk x;kA ;fn ikbi B dks 11 iwokZÉ ij ksy fn;k a th tkrk gS] rks VSad fdrus cts Hkjsxk\ ,d ikuh dh Vadh esa nks ikbi gSaA igyk ikbi 12 feuV (a) 12 : 45 am (b) 5 : 00 pm esa kyh Vadh dks Hkj ldrk gS vkSj nwljk ikbi 20 feuV (c) 11 : 45 am (d) 12 : 00 pm esa Hkjh Vadh dks kyh dj ldrk gSA nksuksa ikbiksa ty a 3. Three pipes A, B and C can fill a tank in 6 ksys tkus ij vk/h Vadh dks Hkjus esa yxus okys le; hours. After all three pipes worked for 2 dh x.kuk dhft,A di M hours, C is turned off. Then A and B filled (a) 16 min (b) 15 min the remaining part in 7 hours. Calculate (c) 20 min (d) 30 min the number of hours taken by C alone to fill the tank? 7. Two pipes A and B can fill a water tank in 12 rhu ikbi A] B vkSjC ,d Vadh dks 6 ?kaVs esa Hkj ldrs min and 24 min respectively. Third pipe C can empty at the tank at the rate of 7 gallons per gSaA rhuksa ikbiksa dks 2 ?kaVs rd dke djus C cands ckn minute. If A, B and C opened together fill the dj fn;k tkrk gSA fiQjA vkSj B us 'ks"k Hkkx dks 7 ?kaVstank in 15 minutes, the capacity of the tank esa Hkj fn;kA VSad dks Hkjus ds fy, C vdsys }kjk fy, x, in gallons is. ?kaVksa dh x.kuk djsa\ nks ikbiA vkSj B ,d ikuh dh Vadh dks Øe'k% 12 (a) 16 hours (b) 12 hours feuV vkSj 24 feuV esa Hkj ldrs gSaA rhljkC,ikbi (c) 13 hours (d) 14 hours 7 xSyu çfr feuV dh nj ls VSad dks kyh dj ldrk A 4. A tap can fill a tank in 6 hours. When the tank is half filled, three more similar taps are gSA ;fnA] B vkSj C ,d lkFk ksys tk, rks VSad dks opened to fill water into the same tank. What 15 feuV esa Hkj tkrk gSa] rks xSyu esa VSad is the total time taken to fill the tank {kerkgSA completely by all the four pipes? (a) 180 (b) 150 ,d uy fdlh Vadh dks 6 ?kaVs esa Hkj ldrk gSA tc VSad (c) 120 (d) 60 vk/k Hkj tkrk gS] rks mlh VSad esa ikuh Hkjus ds fy, blh 8. A water tank has three taps A, B and C. A fills rjg ds rhu vkSj uy ksy fn, tkrs gSaA lHkh pkj ikbiksa four buckets in 24 minutes, B fills 8 buckets }kjk VSad dks iwjh rjg ls Hkjus esa fy;k x;k dqy le; in 1 hour and C fills 2 buckets in 20 minutes. fdruk gS\ If all the taps are opened together, a full tank (a) 6 hours (b) 2 hours 4 min is emptied in 2 hours. If a bucket can hold 5 (c) 3 hours 48 min (d) 3 hours 45 min liters of water, what is the capacity of the tank? Aditya Ranjan Sir (Excise Inspector) Selected gSSelection fnyk,axs1 Join Telegram- Maths by Aditya Ranjan Pipe & Cistern ,d ikuh dh Vadh esa rhu uyA] B vkSj C gSaA A, 24 nks Hkjus okys PuyvkSj Q ,d lkFk ,d VSad dks feuV esa pkj ckfYV;k¡ Hkjrk 1 ?kaVs esa 8 ckfYV;k¡ Øe'k% 40 yhVj@feuV vkSj 60 yhVj@feuV dh nj ls 8 B, gS] Hkjrk gS vkSjC, 20 feuV esa 2 ckfYV;k¡ Hkjrk gSA ;fn feuV esa Hkj ldrs gSaA ;fn ,d csdkj uy Hkjh gqbZ Vad dks 32 feuV esa kyh dj ldrk gS] rks csdkj uy dh lHkh uy ,d lkFk ksys tkrs gSa] rks ,d iwjh Vadh 2 ?kaVs esa kyh gks tkrh gSA ;fn ,d ckYVh esa 5 yhVj ikuh vk nj D;k gS\ ldrk gS] rks Vadh dh {kerk D;k gS\ (a) 34 lit/min. (b) 25 lit/min. (a) 120 litres (b) 240 litres (c) 22 lit/min. (d) 18 lit/min. (c) 180 litres (d) 60 litres 13. Pipe A is an inlet pipe that can fill an empty 9. 12 buckets of water fill a tank when the cistern in 69 hours. Pipe B can drain the filled capacity of each tank is 13.5 liters. How many cistern in 46 hours. When the cistern was buckets will be needed to fill the same tank,if filled the two pipes are opened one at a time the capacity of each bucket is 9 liters? for an hour each, starting with Pipe B. how long will it take for the cistern to be empty? 12 ckYVh ds ikuh ls ,d VSad dks Hkjk tkrk gS çR;sd VSad ikbi A ,d çosf'kdk ikbi gS tks ,d kyh Vadh dks dh {kerk 13-5 yhVj gSA mlh VSad dks Hkjus ds fy, fdruh 69 ?kaVs esa Hkj ldrk gSAB ikbiHkjh gqbZ Vadh dks 46 r ckfYV;ksa dh vko';drk gksxh] ;fn çR;sd ckYVh dh {kerk ?kaVs esa kyh dj ldrk gSA tc Vadh Hkj tkrh gS rks 9 yhVj gS\ si nks uksa ikbiksa dks ikbi B ls 'kq: djrs gq, ,d&,d djds (a) 8 (b) 15 ,d ?kaVs ds fy, ksyk tkrk gSA Vadh dks kyh gksus e an by (c) 16 (d) 18 10. Two pipes A and B can separately fill a cistern fdruk le; yxsxk\ (a) 11 days (b) 11 days 7 hours n in 10 and 15 minutes respectively. A person opens both the pipes together when the (c) 11 days 12 hours (d) 1 days 13 hours cistern should have been was full he finds the 14. Two taps X and Y can fill a tank in 15 hours ja R s waste pipe open. Then he closes the waste pipe and in another 3 minutes the cistern was full. and 20 hours respectively. If the two taps are opened at 2 p.m., then at what time (in p.m.) a th In what time can the waste pipe empty the should the tap X be closed to completely fill cistern when fill ? the tank at exactly 2 a.m.? nks ikbiA vkSj B vyx&vyx ,d Vadh dks Øe'k% 10 nks uy X vkSj Y ,d Vadh dks Øe'k% 15 ?kaVs vkSj 20 ?kaVs vkSj 15 feuV esa Hkj ldrs gSaA ,d O;fÙkQ nksuksa ikbiksa dks esa Hkj ldrs gSaA ;fn nks uy nksigj 2 cts ksys tk ty a ,d lkFk ksyrk gS tc Vadh iwjh Hkj tkuh pkfg, Fkh rks gSa] rks Bhd 2 iwokZÉ ij VSad dks iwjh rjg ls Hkjus ds og vif'k"V ikbi dks qyk ikrk gSA fiQj og csdkj ikbi uy X dks fdl le; (vijkÉ esa) can djuk pkfg,\ di M dks can dj nsrk gS vkSj vxys 3 feuV esa gkSt Hkj tkrk (a) 8 pm (b) 7 am gSA Hkjus ij vif'k"V ikbi Vadh dks fdrus le; esa kyh (c) 9 am (d) 10 pm dj ldrk gS\ 15. One pipe can fill an empty cistern in 4 hours while another can drain the cistern when full (a) 10 min (b) 13 min in 10 hours. Both the pipes were turned on (c) 12 min (d) 17 min when the cistern was half-empty. How long will 11. The ratio of efficiencies of two filling pipes is it take for the cistern to be full? 4 : 5. There is a third emptying pipe which efficiency is two third of the average efficiency ,d ikbi ,d kyh Vadh dks 4 ?kaVs esa Hkj ldrk gS of first two filling pipes can empty a filled tank tcfd nwljk ikbi Hkjs gq, VSad dks 10 ?kaVs esa kyh d in 36 minutes. In how much time both the ldrk gSA vk/k kyh gksus ij nksuksa ikbiksa dks pkyw filling pipes can fill the tank when it is empty? fn;k x;kA gkSt dks Hkjus esa fdruk le; yxsxk\ nks Hkjus okys ikbiksa dh {kerk dk vuqikr 4 % 5 gSA ,d A (a) 3 hrs. 20 minutes rhljk kyh djus okyk ikbi gS ftldh n{krk igys nks Hkjus (b) 6 hrs. 40 minutes okys ikbiksa dh vkSlr {kerk dh nks frgkbZ gS tks ,d Hkjs gq, (c) 4 hrs. 20 minutes VSad dks 36 feuV esa kyh dj ldrk gSA kyh gksus ij nksuksa (d) 5 hrs. 30 minutes Hkjus okys ikbi VSad dks fdrus le; esa Hkj ldrs gSa\ 16. Two pipes A and B can fill an empty cistern in 32 and 48 hrs, respectively. Pipe C can (a) 16 min (b) 12 min drain the entire cistern in 64 hrs when no (c) 14 min (d) 20 min other pipe is in operation. Initially, when the 12. Two filling taps P and Q together can fill a tank cistern was empty Pipe A and Pipe C were with rate of 40 lit/min and 60 lit/min turned on. After a few hrs, Pipe A was turned respectively in 8 min. If a waste tap can empty off and Pipe B was turned on instantly. In all the filled tank in 32 min, then what is the rate it took 112 hrs to fill the cistern. For how of waste tap? many hrs was Pipe B turned on? Aditya Ranjan Sir (Excise Inspector) Selected gSSelection fnyk,axs2 Join Telegram- Maths by Aditya Ranjan Pipe & Cistern nks ikbiA vkSj B ,d kyh Vadh dks Øe'k% 32 vkSj ikbi A] B vkSjC ,d VSad dks Øe'k% 30] 60 vkSj 120 48 ?kaVs esa Hkj ldrs gSaAC iwjs ikbi VSad dks 64 ?kaVs esa feuV esa Hkj ldrs gSaA BikbivkSj C dks 10 feuV ds kyh dj ldrk gS tc dksbZ vU; ikbi dke ugha dj jgk fy, qyk j k tkrk gS] vkSj fiQj ikbi B dks can dj gksA çkjaHk esa] tc Vadh kyh FkhArks vkSj ikbiikbi C fn;k tkrk gS tcfd ikbi A dks ksy fn;k tkrk gSA VSad dks pkyw fd;k x;kA dqN ?kaVksa ds ckn] A dksikbican ds Hkjus ls 10 feuV igys ikbi C dks can dj fn;k tkrk dj fn;k x;k vkSj ikbi B dks rqjar pkyw dj fn;k x;kA gSA VSad dks Hkjus esa fdruk le; yxrk gS\ dqy feykdj Vadh dks Hkjus esa 112 ?kaVs yxsA B dksikbi (a) 40 min (b) 28 min fdrus ?kaVs ds fy, pkyw fd;k x;k Fkk\ (c) 30 min (d) 36 min (a) 72 (b) 70 20. Two pipes can fill a tank in 12 hrs and 18 hrs (c) 77 (d) 84 respectively. Pipes are opened together but 17. Two pipes A and B can fill an empty cistern due to a pipe leakage, it takes 48 minutes in 1.8 and 2.7 hours, respectively. Pipe C can extra to fill the tank, If the tank is full, what drain the entire cistern in 4.5 hours when no time will it take to completely empty due to the leakage. r other pipe is in operation. Initially when the cistern was empty Pipe A and Pipe C were nks ikbi ,d VSad dks Øe'k% 12 ?kaVs vkSj 18 ?kaVs e si turned on. After a few hours Pipe A was turned ldrs gSaA ikbiksa dks ,d lkFk ksy fn;k tkrk gS ysfdu off and Pipe B was turned on instantly. In all it ikbi esa fjlko ds dkj.k VSad dks Hkjus esa 48 feuV vfrfjDr an by took 5.5 hours to fill the cistern. For how many hours was Pipe B turned on? yxrs gSa] ;fn VSad Hkjk gqvk gS] rks fjlko ds dkj.k bl iwjh rjg ls kyh gksus esa fdruk le; yxsxk\ n nks ikbiA vkSj B ,d kyh Vadh dks Øe'k% 1-8 vkSj 2-7 ?kaVs esa Hkj ldrs gSaA tc dksbZ vU; ikbi dke ugha (a) dj 72 hrs. (b) 84 hrs. ja jgk gks rks ikbiC, 4-5 ?kaVs esa iwjs gkSt dks kyh dj (c) 96 hrs. (d) 112 hrs. R s ldrk gSA 'kq: esa tc Vadh kyh Fkh rks ikbi A vkSj 21. A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills a th ikbi C dks pkyw fd;k x;kA dqN ?kaVksa ds ckn A ikbi the empty tank in 8 hours. If the outlet pipe is dks can dj fn;k x;k vkSj ikbi B dks rqjar pkyw dj open then the inlet pipe fills the empty tank in fn;k x;kA Vadh dks Hkjus esa dqy feykdj 5-5 ?kaVs yxsA 10 hours. If only the outlet pipe is open then in ikbi B fdrus ?kaVs ds fy, pkyw jgk\ ty a how many hours the full tank becomes half-full? (a) 5 (b) 4.5 ,d VSad esa ,d buysV ikbi vkSj ,d vkmVysV ikbi gSA ;fn vkmVysV ikbi can gS rks buysV ikbi kyh VSad dks 8 ?kaV di M (c) 3 (d) 6 18. Pipe A could fill an empty cistern in 18 hrs Hkjrk gSA ;fn vkmVysV ikbi qyk gS rks buysV ikbi kyh while pipe B can drain a filled cistern in 30 VSad dks 10 ?kaVs esa Hkjrk gSA ;fn dsoy fudkl ikbi gh q hrs. When the cistern is empty, pipe A is gS rks iwjk Hkjk gqvk VSad fdrus ?kaVs esa vk/k Hkjk jg t turned on for an hour and then turned off. The pipes were alternately left open for an hour (a) 20 hours (b) 30 hours each time till the cistern was full. How much (c) 40 hours (d) 45 hours time did it take for the cistern to be full? 22. Two pipes P and Q can fill a tank in 20hrs ikbi A ,d kyh Vadh dks 18 ?kaVs esa Hkj ldrk gS tcfd and 25hrs respectively while a third pipe R ikbi B Hkjh gqbZ Vadh dks 30 ?kaVs esa kyh dj ldrk gSA cantc empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe Vadh kyh gksrh gS] rks Aikbi dks ,d ?kaVs ds fy, pkyw R is closed then in what time the tank can fd;k tkrk gS vkSj fiQj can dj fn;k tkrk gSA gj ckj ,d A be filled. ?kaVs ds fy, ikbiksa dks ckjh&ckjh ls qyk NksM+ fn;k tkrk Fkk nks ikbiP vkSjQ ,d VSad dks Øe'k% 20 ?kaVs vkSj 25 ?ka tc rd fd gkSt Hkj ugha tkrk FkkA gkSt dks Hkjus esa fdruk esa Hkj ldrs gSa tcfd ,d rhljk ikbi R VSad dks 30 ?kaVs le; yxk\ esa kyh dj ldrk gSA ;fn lHkh ikbiksa dks ,d lkFk 10 (a) 90 hrs. (b) 86 hrs. 40 ?kaVs ds fy, ksy fn;k tk, vkSj fiQj ikbi R dks can dj (c) 45 hrs. (d) 86 hrs. 48 min. fn;k tk,] rks VSad dks fdrus le; esa Hkjk tk ldrk gS\ 19. Pipes A, B and C can fill a tank in 30, 60 and 120 minutes respectively. Pipes B and C are 400 400 kept open for 10 minutes, and then Pipe B is (a) hours (b) hours 23 27 shut while Pipe A is opened. Pipe C is closed 10 minutes before the tank overflows. How 200 200 (c) hours (d) hours long does it take to fill the tank? 23 27 Aditya Ranjan Sir (Excise Inspector) Selected gSSelection fnyk,axs3 Join Telegram- Maths by Aditya Ranjan Pipe & Cistern 23. Three pipes A, B, C can fill an empty cistern in 2, (a) 12 hours (b) 4 hours 3 and 6 hours respectively. They are opened together. After what time should B be closed, so 20 (c) 9 hours (d)hours that the cistern gets filled in exactly 1 hr. 15 min? 3 rhu ikbi A, B vkSjC ,d [kkyh tyk'k; dks Øe'k% 2] 27. A tank is to be filled completely with water for which 8 pipes of the same kind are used. The 3 vkSj 6 ?kaVsa esa Hkj ldrs gSA rhuksa ikbiksa dks ,d lkFk tank gets filled in 1 hour and 40 minutes. If [kksy fn;k tkrk gSA fdrus le; ds ckn ikbiB dks can 10 pipes of the same kind, as mentioned dj fn;k tkuk pkfg,] rkfd tyk'k; Bhd 1 ?kaVsa 15 feuV above. are used in how much time (in hours esa Hkj tk,\ and minutes) will the tank be completely (a) 30 min (b) 15 min filled? (c) 20 min (d) 45 min ,d VSad dks iwjh rjg ls ikuh ls Hkjuk gS ftlds fy, leku 24. Three pipes A, B and C can fill a cistern in çdkj ds 8 ikbiksa dk mi;ksx fd;k tkrk gSA Vadh 1 ?kaVs 4 12, 18 and 24 minutes, respectively. If all feuV esa Hkj tkrh gSA ;fn ,d gh rjg ds 10 ikbi] tSlk the pipes are opened together for 7 minutes, what will be the volume of the water that fd Åij crk;k x;k gSA ç;ksx fd;k tkrk gS rks Vadh fdrus r overflows as the percentage of the total le; (?kaVksa vkSj feuVksa esa) esa iwjh rjg Hkj tk,xh\ si volume of the cistern? (a) 1 hr 30 min (b) 1 hr 45 min rhu ikbi A, B vkSjC ,d tyk'k; dks Øe'k% 12] 18 (c) 1 hr 5 min (d) 1 hr 20 min an by vkSj 24 feuV esa Hkj ldrs gSA ;fn lHkh ikbi 7 feuV 28. Two pipes can fill a tank with water in 15 and ds fy, ,d lkFk [kksy fn;s tkrs gSa] rks tyk'k; ds 12 hours respectively, and a third pipe can n dqy vk;ru dk fdrus izfr'kr ty vfrizokg ds :i empty it in 4 hours. If the pipes be opened in order, at 8, 9 and 11 a.m. respectively, the esa cg tk,xk\ tank will be emptied at? ja (a) 26 7 % R s (b) 23 1 % nks ikbi ,d VSad dks Øe'k% 15 vkSj 12 ?kaVs esa ikuh 18 3 Hkj ldrs gSa] vkSj ,d rhljk ikbi bls 4 ?kaVs esa kyh dj a th (c) 23 2 % (d) 26 5 % ldrk gSA ;fn ikbiksa dks Øe'k% 8] 9 vkSj 11 iwokZÉ ij 3 18 ksy fn;k tk,] rks Vadh fdrus cts kyh gksxh\ 25. Two pipes A and B can fill a tank in 16 hours (a) 11 : 40 am (b) 12 : 40 pm ty a and 20 hours respectively. They are opened alliteratively for 1 hour each, starting with (c) 01 : 40 pm (d) 2 : 40 pm pipe A first. In how many hours will the empty 29. Two pipes can fill a tank in 8 h. and 12 h. di M tank be filled? respectively whereas an escape pipe can empty nks ikbiA vkSj B ,d VSad dks Øe'k% 16 ?kaVs vkSj 20 it in 6 h. If the three pipes are opened at 1 ?kaVs esa Hkj ldrs gSaA igys A lsikbi 'kq: djrs gq,] mUgsa pm, 2 pm and 3 pm respectively, at what time will the tank be filled? çR;sd 1 ?kaVs ds fy, vyx&vyx ksyk tkrk gSA kyh Vadh fdrus ?kaVs esa Hkj tk,xh\ nks ikbi ,d Vadh dks 8 ?kaVs esa Hkj ldrs gSaA vkSj 12 tcfd ,d fudkl ikbi bls 6 ?kaVs esa kyh dj ldrk gSA 1 (a) 17 3 (b) 17 ;fn rhuksa ikbiksa dks Øe'k% nksigj 1 cts] nksigj 2 cts 5 5 vkSj 3 cts ksyk tkrk gS] rks VSad fdrus cts Hkjsxk\ 1 3 (c) 17 (d) 17 (a) 8 am (b) 7 am 4 4 (c) 5 am (d) 7:30 am 26. A pipe can fill a tank in 4 hours and a leak at the bottom can empty the full tank in 6 hours. 30. Pipes A and B can fill a tank in 6 hrs. and 9 A hrs respectively and pipe C can empty the full 1 tank in 12 hrs. If all three pipes are opened If the leak stops completely after filling 3 together when a tank is empty, in how many parts of the tank, then how much time will it hours will 35% of the tank be filled? take from the beginning to fill the tank ikbi A vkSj B ,d VSad dks Øe'k% 6 ?kaVs vkSj 9 ?kaVs completely? Hkj ldrs gSa vkSj ikbi C iwjh Vadh dks 12 ?kaVs esa kyh ,d ikbi ,d Vadh dks 4 ?kaVs esa Hkj ldrk gS vkSj ryh esa ,d fjlko ml Hkjh gqbZ Vadh dks 6 ?kaVs esa kyh djdj ldrk gSA ;fn ,d VSad kyh gksus ij lHkh rhu ikbiksa dks ,d lkFk ksy fn;k tkrk gS] rks fdrus ?kaVs esa VSad d 1 ldrk gSA ;fn VSad ds Hkkx Hkjus ds ckn fjlko iwjh 35» Hkj tk,xk\ 3 rjg ls can gks tkrk gS] rks VSad dks iwjh rjg ls Hkjus esa (a) 1.9 (b) 1.5 'kq: ls fdruk le; yxsxk\ (c) 1.6 (d) 1.8 Aditya Ranjan Sir (Excise Inspector) Selected gSSelection fnyk,axs4 Join Telegram- Maths by Aditya Ranjan Pipe & Cistern 31. A tap fills a tank in 5 hours and a leaking tap ,d VSad esa nks buysV A ikbi vkSjB gSa vkSj ,d vkmVysV can empty the tank in 7 hours. If the tap and ikbi C gS vkSj ikbiB dh n{krk ikbi A dh n{krk ls the leaking tap which was half closed are left nksxquh gSA ;fn ikbi B VSad dks 7-5 feuV esa Hkjrk gS vkS open, then how much time will it take to fill the tank? ikbi C VSad dks 30 feuV esa [kkyh djrk gSA izkjaHk ikbi A dks [kksyk tkrk gS vkSj 8 feuV ds ckn A ikbi ,d uy fdlh Vadh dks 5 ?kaVs esa Hkjrk gS vkSj ,d fjlko dks can dj fn;k tkrk gS vkSj ikbiC dks [kksy fn;k uy ls Vadh dks 7 ?kaVs esa kyh fd;k tk ldrk gSA vxj tkrk gSA 5 feuV ds ckn ikbi C dks can dj fn;k tkrk uy vkSj fjlko uy tks vk/k can Fkk] mls qyk NksM+ fn;k gS vkSj VSad dks Hkjus ds fy,Aikbi vkSjB dks [kksy tk, rks Vadh dks Hkjus esa fdruk le; yxsxk\ fn;k tkrk gSA VSad ds 'ks"k Hkkx dks Hkjus dsA fy, ikbi (a) 6 7 hr. (b) 7 7 hr. vkSjB }kjk fy;k x;k le; Kkr dhft,A 9 9 (a) 2 minutes (b) 3 min 10 sec 3 (c) 3 minutes (d) 2.75 minutes (c) 8 8 hr. (d) 8 hr. 9 4 35. Two inlet pipes A and B and one outlet pipe C are connected to a tank. Pipes A and C together r 32. Pipes A and B can fill the tank in 15 and 18 can fill a tank in 22.5 minutes, while pipes B and hours respectively and Pipe C can empty the C together can fill the same tank in 90 minutes si water from the tank at the rate of 3 liters/min. and ratio of efficiency of pipe A to B is 2 : 1 If all pipes are opened at the same time, then respectively. If pipes A and B works with 125% an by the tank is filled in 9 hours. Find the capacity of the tank. 1 and 83 % of their efficiencies respectively, ikbi A vkSjB VSad dks Øe'k% 15 vkSj 18 ?kaVs esa Hkj n 3 then in what time pipes A and B together will ldrs gSa vksj ikbiC 3 yhVj@feuV dh nj ls VSad ls fill the tank? ikuh [kkyh dj ldrk gSA ;fn lHkh ikbi ,d gh le; esa ja nks buysV ikbi (Hkjus ds ikbi) A vkSj B vkSj ,d R s [kksys tkrs gSaA rks Vadh 9 ?kaVs esa Hkj tkrh gSAvkmVysV VSad dh ikbi ([kkyh djus ds ikbi)C ,d VSad ls {kerk Kkr dhft;sA a th tqM+s gSaA ,d lkFk Aikbi vkSjC ,d VSad dks 22-5 (a) 16200 liters feuV esa Hkj ldrs gSa] tcfd ,d lkFk ikbiB vkSjC (b) 16300 liters mlh VSad dks 90 feuV esa Hkj ldrs gSa vkSj A lsikbi B (c) 16400 liters dh n{krk dk vuqikr Øe'k% 2 % 1 gSA ;fn ikbi A vkSj ty a (d) 16500 liters 1 33. Pipe A can fill half of the tank in 8 hrs 5 min B viuh n{krk ds Øe'k% 125» vkSj 83 % ds lkFk di M and pipe B can fill the same tank completely 3 in 16 hrs 5 min. Another pipe C can empty dke djrs gSa] rks ,d lkFk ikbiA vkSjB VSad dks fdrus the full tank in 12 hrs. If all the pipes are le; esa Hkjsaxs\ opened together then in how much time 80% (a) 12 min (b) 6 min of the tank is filled (approx.)? (c) 15 min (d) 9 min ikbi A VSad dk vk/k fgLlk 8 ?kaVs 5 feuV esa Hkj ldrk 2 36. Pipe A and B together can fill the tank in 22 gS vkSj ikbiB mlh VSad dks 16 ?kaVs 5 feuV esa iwjh rjg 9 ls Hkj ldrk gSA ,d vU; ikbi C iwjs VSad dks 12 ?kaVs esahours. If pipe B is increased its efficiency by 25%, then both can fill the tank in 20 hours, [kkyh dj ldrk gSA ;fn lHkh ikbiksa dks ,d lkFkk [kksy in how many hours pipe A to fill the tank at fn;k tkrk gS] rks VSad dk 80» (yxHkx) fdrus le; esa the half of its efficiency? Hkj tk,xk\ 2 ,d lkFk ikbi A vkSjB VSad dks22 ?kaVs es Hkj ldrs A (a) 30.2 hours (b) 16.4 hours 9 (c) 26.2 hours (d) 19.2 hours gSaA ;fn ikbi B dh n{krk esa 25» dh o`f¼ dh tkrh gS] 34. A tank has two inlet pipes A & B and an rks nksuksa ikbi VSad dks 20 ?kaVs esa Hkj ldrs A gSa] outlet pipe C and the efficiency of pipe B is viuh vk/h n{krk ds lkFk VSad dks fdrus ?kaVs esa Hkjsx twice the efficiency of pipe A. If pipe B filled (a) 80 (b) 60 the tank in 7.5 min and pipe C empty the (c) 90 (d) 100 tank in 30mins. Initially pipe A is opened 37. Pipes A, B and C can fill the tank in 30 hours, and after 8mins pipe A is closed and pipe C 10 hours and 15 hours respectively. If pipes is opened. After 5mins pipe C closed and A and C are opened together. After y hour, pipe pipe A and B is opened to fill the tank. Find I is closed and pipe B is opened. If pipes B and the time taken by pipes A and B to fill the C together fill the remaining tank in 3 hours, remaining part of the tank. then find the value of y? Aditya Ranjan Sir (Excise Inspector) Selected gSSelection fnyk,axs5 Join Telegram- Maths by Aditya Ranjan Pipe & Cistern ikbi A, B vkSjC Vadh dks Øe'k% 30 ?kaVs] 10 ?kaVs vkSj (a) 4 pm (b) 2 pm 15 ?kaVs esa Hkj ldrs gSaA ;fn A ikbi vkSjC dks ,d (c) 1 pm (d) 3 pm lkFk [kksyrs gSaA y ?kaVs ds ckn] ikbiA can gks tkrk gS41. An inlet pipe can fill an empty tank in 120 vkSj ikbiB [kqy tkrk gSA ;fn ,d lkFk ikbiB vkSjC hours while an outlet pipe drains a completely- filled tank in 54 hours. If 8 inlet pipes and 3 'ks"k VSad dks 3 ?kaVs esa Hkjrs y dk eku gSa]Kkr rksdhft,\ outlet pipes are opened simultaneously, when (a) 6 hours (b) 8 hours the tank is empty, then in how many hours will (c) 3.75 hours (d) 9 hours the tank get completely filled? 38. If two pipes A and B filled the tank in 18 ,d buysV ikbi ,d kyh VSad dks 120 ?kaVs esa Hkj ldrk minutes and 24 minutes respectively and gS] tcfd ,d vkmVysV ikbi iwjh rjg ls Hkjs VSad dks 54 pipe C emptied the same tank in 36 minutes. Initially, pipe A opened to fill the tank and ?kaVs esa kyh dj nsrk gSA ;fn VSad kyh gksus ij 8 buy after 3 minutes all three pipes were opened. ikbi vkSj 3 vkmVysV ikbi ,d lkFk ksys tkrs gSa] rks What is the time taken f or f illing the VSad fdrus ?kaVs esa iwjh rjg ls Hkj tk,xk\ remaining tank? SSC CGL TIER I 20/07/2023 (Shift-01) ;fn nks ikbi A vkSjB VSad dks Øe'k% 18 feuV vkSj 24 (a) 81 r (b) 96 feuV esa Hkjrs gSa vksjCikbi mlh VSad dks 36 feuV esa (c) 72 si (d) 90 [kkyh djrk gSA izkjaHk esa] VSad dks Hkjus Ads fy, 42.ikbi There are three taps of diameter 2 cm, 3 cm dks [kksyk x;k vkSj 3 feuV ds ckn rhuksa ikbiksa dks [kksy an by and 4 cm, respectively. The ratio of the water fn;k x;kA 'ks"k VSad dks Hkjus esa fdruk le; yxrk gS\ flowing through them is equal to the ratio of the square of their diameters. The biggest tap n (a) 17 min (b) 23 min can fill an empty tank alone in 81 min. If all (c) 14 min (d) 12 min the taps are opened simultaneously, then how ja 39. Pipe P can fill a tank in 40 hours; pipe Q can long will the tank take (in min) to be filled? R s fill the same tank in x hours while pipe R can Øe'k%2 lseh] 3 lsehvkSj 4 lseh O;kl ds rhu uy gSaA empty the filled tank in 24 hours. If all three a th taps are opened simultaneously then the tank muds ek/;e ls izokfgr ty dk vuqikr muds O;kl ds is filled in 36 hours. Find the time taken by oxZ ds vuqikr ds cjkcj gSA lcls cM+k uy vdsys ,d pipe Q to fill an empty tank? [kkyh Vadh dks 81 feuV esa Hkj ldrk gSA ;fn lHkh uyksa ikbi P ,d VSad dks 40 ?kaVs esa Hkj ldrk gS_ Q mlh ikbi ,d lkFk [kksy fn;k tk,] rks Vadh dks Hkjus esa fdruk le; ty a VSad dks x ?kaVs esa Hkj ldrk gS tcfd ikbi R Hkjs gq, VSad (feuV esa) yxsxk\ dks 24 ?kaVs esa [kkyh dj ldrk gSA ;fn rhuksa uyksa dks ,d di M 20 20 lkFk [kksy fn;k tk, rks VSad 36 ?kaVs esa Hkj tkrh gSA (a) ikbi31 29 (b) 60 29 Q }kjk ,d [kkyh VSad dks Hkjus esa fy;k x;k le; Kkr 20 20 dhft,\ (c) 54 (d) 44 29 29 (a) 24.5 hours (b) 22.5 hours 43. There are two inlets pipe A and B connected (c) 26.5 hours (d) 17.5 hours to a tank. A and B can fill the tank in 32 hr and 28 hr, respectively. If both the pipes are 40. Pipe P start filling tank A and at the same time opened alternately for 1 hr, starting with A, pipe Q start filling tank B, they alone can fill then in how much time (in hours, to nearest the tank at 8 pm and 6 pm respectively. If at integer) will the tank be filled? 4 pm pipe P is closed, then pipe Q is opened for tank A, and then tank is filled in 3 hours ,d VSad ls nks buysV ikbiA vkSjB tqM+s gq, AgSaA vkSj 12 minutes. If Pipe P opened for tank B (at 5 B VSad dks Øe'k% 32 ?kaVs vkSj28 ?kaVs esa Hkj ldrs gSaA A am) then find at what time it will fill the tank ;fn nksuksa ikbiksa A ls dks'kq: djrs gq,] ckjh&ckjh ls] 1 alone, if capacity of both tanks are same? ?kaVs ds fy, ksyk tkrk gS] rks VSad fdrus le; (?kaVksa ikbi P VSad A dks Hkjuk 'kq: djrk gS vkSj mlh le; fudVre iw.kkZad) esa Hkj tk,xk\ ikbi Q VSad B dks Hkjuk 'kq: djrk gS] os vdsys VSad (a) 22 (b) 30 dks Øe'k% jkr 8 cts vkSj 'kke 6 cts Hkj ldrs gSaA ;fn (c) 36 (d) 24 4 cts ikbi P dks can dj fn;k tkrk gS] rks ikbi Q dks 44. Three taps A, B and C together can fill a tank VSadA ds fy, [kksy fn;k tkrk gS] vkSj fiQj VSad 3 ?kaVsin 6 hours. Tap C alone can fill the tank in 12 feuV esa Hkj tkrk gSA ;fn ikbi P VSadB ds fy, 12 hours. To fill the tank, when it is empty, (lqcg 5 cts) [kksyk tkrk gS rks Kkr dhft, fd ;g all the three taps are started together. After working t hours, tap C is closed and the tank vdsys VSad dks fdrus le; esa Hkjsxk] ;fn nksuksa VSadksa dh is filled in 8 more hours. What is t equal {kerk leku gS\ to ? Aditya Ranjan Sir (Excise Inspector) Selected gSSelection fnyk,axs6 Join Telegram- Maths by Aditya Ranjan Pipe & Cistern rhu uy A, B vkSjC ,d lkFk ,d Vadh dks 6 ?akVs esa (a) 1 (b) 4 Hkj ldrs gSaA uy C vdsyk bl Vadh dks 12 ?kaVs esa Hkj (c) 2 (d) 3 ldrk gSA Vadh dks Hkjus ds fy,] tc ;g [kkyh gksrs49. Inlet Pipes A and B can together fill an empty gS] rks rhuksa uy ,d lkFk [kksy fn, tkrst gSaA ?kaVs ds tank in 1.5 hours. Outlet Pipe C, when opened ckn] uy C dks can dj fn;k tkrk gS vkSj Vadh dks alone, can empty the completely filled tank, in 4.5 hours. When only Pipes A and C are Hkjus esa 8 ?kaVs vkSj yxrs t fdlds gSaA cjkcj gS\ opened together, the empty tank is filled in 6 UPSC CDS 2023 (1) hours. Find the time taken by Pipe B, when (a) 1 (b) 2 opened alone, to fill the empty tank. (c) 4 (d) 6 buysV ikbiA vkSjB feydj ,d kyh VSad dks 1-5 ?kaVs 45. A water tank has two outlet pipes. If both the outlet pipes are opened, it takes 20 minutes esa Hkj ldrs gSaA tc vkmVysVCikbi vdsyk ksyk tkrk to empty the tank. If the first outlet pipe is gS] rks iwjh rjg ls Hkjs VSad dks 4-5 ?kaVs esa kyh dj l opened, the tank is emptied in 30 minutes. gSA tc dsoy ikbi A vkSj C dks ,d lkFk ksy fn;k How much time will it take to empty the tank tkrk gS] rks kyh VSad 6 ?kaVs esa Hkj tkrk gSA dks kyh VS through the second outlet pipe? Hkjus ds fy,vdsys ikbi B }kjk fy;k x;k le; Kkr djsaA r ,d ikuh dh Vadh esa nks vkmVysV ikbi gksrs gSaA ;fn nksuksa SSC CGL TIER I 19/07/2023 (Shift-02) si vkmVysV ikbi ksys tk,a rks VSad dks kyh djus esa 20 (a) 3 hr 30 min (b) 3 hr 36 min feuV dk le; yxrk gSA ;fn igyk vkmVysV ikbi ksyk an by (c) 3 hr 32 min (d) 3 hr 40 min tkrk gS] rks VSad 30 feuV esa kyh gks tkrk gSA nwljs vkmVysV 50. An inlet pipe can fill an empty tank in 120 ikbi }kjk VSad dks kyh djus esa fdruk le; yxsxk\ n hours while an outlet pipe drains a completely- CDS 2020 (Shift-01) filled tank in 54 hours. If 8 inlet pipes and 3 (a) 30 min (b) 40 min outlet pipes are opened simultaneously, when ja (c) 50 min (d) 60 min the tank is empty, then in how many hours 46. R s P can fill a tank in 5 hours. Q can fill the same will the tank get completely filled? ,d buysV ikbi ,d kyh VSad dks 120 ?kaVs esa Hkj ldrk a th tank in 10 hours. R can empty the same tank in 20 hours. How much time will all the three gS] tcfd ,d vkmVysV ikbi iwjh rjg ls Hkjs VSad dks 54 take together to fill the tank? ?kaVs esa kyh dj nsrk gSA ;fn VSad ds kyh gksus ij P ,d Vadh dks 5 ?kaVs esa Hkj ldrk Q mlh gSAVadh dks buysV ikbi vkSj 3 vkmVysV ikbi ,d lkFk ksys tkrs gSa] ty a 10 ?kaVs esa Hkj ldrkRgSA mlh Vadh dks 20 ?kaVsesa rks VSad fdrus ?kaVs esa iwjh rjg ls Hkj tk,xk\ [kkyh dj ldrk gSA rhuksa feydj mlh Vadh dks Hkjus esa di M fdruk le; ysaxsA SSC CGL TIER I 20/07/2023 (Shift-01) (a) 81 (b) 96 SSC CHSL 13/03/2023 (Shift-02) (a) 10 hours (b) 4 hours (c) 72 (d) 90 (c) 6 hours (d) 5 hours 1 47. 15 taps can fill a tank in 36 minutes. How many 51. An inlet pipe can fill an empty tank in 4 2 taps will be required to fill the tank in one hour? hours while an outlet pipe drains a completely 15 uy ,d Vadh dks 36 feuV esa Hkj ldrs gSA Vadh dks 1 ?kaVs esa Hkjus ds fy, fdrus uyksa dh vko';drk gksxh\ filled tank in 7 1 hours. The tank is initially 5 SSC CHSL 15/03/2023 (Shift-02) empty, and the two pipes are alternately (a) 12 (b) 9 opened for an hour each, till the tank is (c) 8 (d) 6 completely filled, starting with the inlet pipe. 48. An inlet pipe can fill an empty tank in 140 hours A In how many hours will the tank be while an outlet pipe drains a completely-filled completely filled? tank in 63 hours. If 8 inlet pipes and y outlet pipes are opened simultaneously, when the tank 1 is empty, then the tank gets completely filled in ,d buysV ikbi ,d kyh VSad dks4 ?kaVs esa Hkj ldrk 2 105 hours. Find the value of y. gS] tcfd ,d vkmVysV ikbi iwjh rjg ls Hkjs VSad dks ,d buysV ikbi ,d kyh VSad dks 140 ?kaVs esa Hkj ldrk gS] 1 tcfd ,d vkmVysV ikbi iwjh rjg ls Hkjs VSad dks 63 ?kaVs7 5 ?kaVs esa kyh dj nsrk gSA VSad 'kq: esa kyh gS esa kyh dj nsrk gSA ;fn 8 buysV ikbi vkSj y vkmVysV buysV ikbi ls 'kq: djrs gq, nksuksa ikbi ckjh&ckjh ls ,d&,d ?kaVs ds fy, ksys tkrs gSa] tc rd fd VSad iwjh ikbi ,d lkFk ksys tkrs gSa] tc VSad kyh gksrk gS] rks VSad 105 ?kaVs esa iwjh rjg ls Hkj tkrk y dkgSA eku Kkr dhft,A rjg ls Hkj u tk,A VaSd fdrus ?kaVs esa iwjk Hkj tk,xk\ CGL PRE, 14/07/2023 (Shift-3) SSC CGL TIER I 21/07/2023 (Shift-02) Aditya Ranjan Sir (Excise Inspector) Selected gSSelection fnyk,axs7 Join Telegram- Maths by Aditya Ranjan Pipe & Cistern 1 nks ikbiA vkSjB ,d VSad dks Øe'k%45 feuV vkSj 75 (a) 24 (b) 20 feuV esa Hkj ldrs gSaA ,d fudkl ikbi C. Hkjs gq, VSad ds 4 nks&frgkbZ20dksfeuV esa [kkyh dj ldrk gSA ;fn rhuksa 3 3 3 (c) 20 4 (d) 22 8 ikbiksa dks ,d lkFk [kksy fn;k tk,] rks VSad dk Hkkx 5 52. A pipe can fill a tank in 30 hours. Due to a fdrus le; (?kaVksa esa) esa Hkj ldrk gS\ leakage at the bottom, it is filled in 50 hours. ICAR Mains, 08/07/2023 (Shift-2) How much time will the leakage take to empty (a) 5 (b) 4.5 the completely filled tank? (c) 4 (d) 3.5 ,d ikbi fdlh Vadh dks 30 ?kaVs esa Hkj ldrk gSA ryh 56.esaTwo taps P and Q can fill a tank alone in 10 hours and 12 hours respectively. If the two taps fjlko gksus ds dkj.k ;g 50 ?kaVs esa Hkjrh gS A iwjh rjg ls Hkjh are opened at 9 a.m., then at what time should Vadh dks kyh djus esa fjlko dks fdruk le; yxsxk\ the tap P be closed to completely fill the tank SSC CGL (PRE) 24/07/2023 (Shift-2) at exactly 3 p.m.? (a) 60 hours (b) 85 hours nks uyP vkSjQ vdsys ,d Vadh dks Øe'k% 10 ?kaVs vkSj 12 r (c) 70 hours (d) 75 hours ?kaVs esa Hkj ldrs gSaA ;fn nksuksa uy lqcg 9 cts ksys tk si 53. Pipe A and pipe B running together can fill a rks Bhd 3 cts Vadh dks iwjh rjg Hkjus ds fy,Puy dks cistern in 6 minutes. If B takes 5 minutes fdl le; can fd;k tkuk pkfg,\ an by more than A to fill it, then the time in which SSC MTS 16/06/2023 (SHIFT-01) A and B will fill that cistern separately will be, (a) 2 p.m (b) 1 p.m n respectively,________. (c) 3 p.m (d) 12 p.m ikbi A vkSj ikbi B ,d lkFk pkyw gksus ij ,d Vadh dks 657. Pipes A and B can fill a tank in 18 hours and ja feuV esa Hkj ldrs gSaAB;fnbls Hkjus esa A ls 5 feuV vf/ R s d le; ysrk gS] rks A vkSjB }kjk ml Vadh dks vyx&vyx 1 22 hours, respectively. Pipe C is emptying 2 a th Hkjus esa fy;k x;k le; Øe'k% gksxkA pipe. When all the three pipes are opened together for 3 hour, then 20% of the tank can SSC CGL (PRE) 26/07/2023 (Shift-2) be filled. A and B together are opened for 4 (a) 15 min and 10 min hours, then A is closed and C is opened ty a (b) 15 min and 20 min instantly with B. In how much total time (in hours) will the whole tank be filled? (c) 25 min and 20 min di M 1 (d) 10 min and 15 min ikbi A vkSjB VSad dks Øe'k% 18 vkSj?kaVs22 ?kaVs esa 2 54. Pipes A and B can fill a tank in 10 and 18 hours. Hkj ldrs gSaA ikbiC kyh djus okyk ikbi gSA tc rhuksa Pipe C is a drain pipe. When all the pipes are ikbiksa dks ,d lkFk 3 ?kaVs ds fy, ksy fn;k tkrk gS] rks 4 Vadh dk 20»Hkj tkrkgSA A vkSjB dks ,d lkFk 4 ?kaVs opened together for 3 hours, then 15 part of ds fy, ksyk tkrk gS] fiQjA dks can dj fn;k tkrk gS the the tank can be filled up. Pipe C alone can vkSjC dks rqjarB ds lkFk ksy fn;k tkrk gSA VSad dqy empty one-third of the tank in: fdrus le; esa (?kaVksa esa) iwjk Hkj tk,xk\ ikbi A vkSjB ,d VSad dks10 vkSj18 ?kaVs esa Hkj ldrs gSaA CRPF HCM 22/02/2023 (Shift - 02) (a) 57 (b) 60 ikbi C ,d fudklh ikbi gSA ;fn lHkh ikbiksa dks ,d lkFk 3 (c) 58 (d) 52 4 ?kaVs ds fy, ksy fn;k tk,] rks VSadfgLlk Hkjk tk ldrk 58. Pipe A can fill a tank in 12 hours and pipe B A 15 takes 18 hours to fill it. Both pipes were opened gSA ikbi C vdsys ,d frgkbZ VSad kyh dj ldrk gS% together and a leak was spotted which increased the filling-up time by 48 minutes. ICAR Mains, 07/07/2023 (Shift-1) Find how many hours will it take for the leak (a) 3 hours (b) 6 hours to empty a full tank. (c) 5 hours (d) 8 hours ikbi A ,d VSad dks 12 ?kaVs esa Hkj ldrk gS vkSjB ikbi 55. Two pipes A and B can fill a tank in 45 bls Hkjus esa 18 ?kaVs ysrk gSA nksuksa ikbiksa dk minutes and 75 minutes, respectively. A drain ksyk x;k vkSj ,d fjlko ns k x;k ftlls Hkjus dk le; pipe C can empty the two-third filled tank 48 feuV c