Questions and Answers
If Praveen can finish a job in 25 days and Sonia in 30 days, how much work do they complete together in one day?
After working together for 5 days, how much work is left for Sonia to complete by herself?
How many days will it take for Sonia to complete the remaining work?
What is the average speed of Manish for the entire journey if he walks half the distance at 4 km/h and does one-third at 12 km/h?
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If Manish completes his journey in 6 hours, how much of the journey does he cover on the horse cart?
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Study Notes
Work and Time Problem
- Praveen completes a job in 25 days, meaning he works at a rate of 1/25 of the job per day.
- Sonia completes the same job in 30 days, working at a rate of 1/30 of the job per day.
- Together, their combined rate is (1/25 + 1/30) jobs per day, allowing for efficient teamwork.
- After working together for 5 days, the fraction of work completed is calculated by multiplying their combined rate by 5 days.
- After Praveen leaves, Sonia will take an additional number of days to finish the remaining work, which can be found by dividing the unfinished work by her daily work rate.
Speed and Distance Problem
- Manish covers half of his journey walking at a speed of 4 km/h.
- He rides a cycle for one-third of the journey at a higher speed of 12 km/h.
- The remainder of the journey is completed in a horse cart traveling at 9 km/h.
- The total time taken for the entire journey is noted as 6 hours.
- The problem suggests calculating the percentage of the total journey completed by each mode of transport relative to the total distance or time.
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Description
Test your understanding of work and time problems with this quiz. It involves calculating rates of work, teamwork efficiency, and the completion of jobs over time. Perfect for students looking to sharpen their problem-solving skills in this area.
