Podcast
Questions and Answers
Which of the following quantities are in inverse proportion?
Which of the following quantities are in inverse proportion?
- Amount of interest and rate of interest (correct)
- Number of burgers and their cost
- Speed of a racing car and time taken by it to reach the finishing line
- All of the above
If 10 books cost $5, what will 12 books cost?
If 10 books cost $5, what will 12 books cost?
- $6
- $7
- $5.50 (correct)
- $6.50
If 4 men can build a room in 5 days, how many days will 10 men take to build the same room?
If 4 men can build a room in 5 days, how many days will 10 men take to build the same room?
- 2 days (correct)
- 5 days
- 2.5 days
- 1 day
If 35 men can reap a field in 8 days, in how many days can 20 men reap the same field?
If 35 men can reap a field in 8 days, in how many days can 20 men reap the same field?
Amir cycled a total of 6 kilometres by making 3 trips to work. How many trips will Amir have to make to cycle a total of 16 kilometres?
Amir cycled a total of 6 kilometres by making 3 trips to work. How many trips will Amir have to make to cycle a total of 16 kilometres?
How long does it take to complete a journey of 300 miles travelling at 60 mph?
How long does it take to complete a journey of 300 miles travelling at 60 mph?
One person can put 200 letters into envelopes in 1 hour. How long would it take for 200 letters to be put into envelopes by 4 people?
One person can put 200 letters into envelopes in 1 hour. How long would it take for 200 letters to be put into envelopes by 4 people?
If 4 men can build a room in 5 days, how many men can build the same room in 2.5 days?
If 4 men can build a room in 5 days, how many men can build the same room in 2.5 days?
If 35 men can reap a field in 8 days, how many men can reap the same field in 12 days?
If 35 men can reap a field in 8 days, how many men can reap the same field in 12 days?
Amir cycled a total of 6 kilometres by making 3 trips to work. How many kilometres will Amir cycle in 5 trips?
Amir cycled a total of 6 kilometres by making 3 trips to work. How many kilometres will Amir cycle in 5 trips?
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Study Notes
Proportion
- Inverse proportion exists between:
- Amount of interest and rate of interest (as one increases, the other decreases)
- Speed of a racing car and time taken by it to reach the finishing line (as speed increases, time taken decreases)
- Time taken and distance travelled by a car (as time taken increases, distance travelled decreases)
- Number of laborers and time taken by them to do the work (as laborers increase, time taken decreases)
Cost and Quantity
- If 10 books cost $5, then 12 books would cost $6 (proportional increase in cost with quantity)
- If 4 men can build a room in 5 days, then 10 men would build the same room in 2 days (proportional decrease in time with increase in men)
Work and Time
- If 35 men can reap a field in 8 days, then 20 men would reap the same field in 14 days (proportional increase in time with decrease in men)
- If 1 person can put 200 letters into envelopes in 1 hour, then:
- 4 people would put 200 letters into envelopes in 0.25 hours (1/4 of the time)
- 6 people would put 200 letters into envelopes in 0.17 hours (1/6 of the time)
- 10 people would put 200 letters into envelopes in 0.1 hours (1/10 of the time)
Distance and Time
- If a journey is 300 miles, then:
- At 60 mph, it would take 5 hours to complete the journey
- At 50 mph, it would take 6 hours to complete the journey
- At 40 mph, it would take 7.5 hours to complete the journey
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