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Questions and Answers
If B and C together can do a piece of work in 4 hours, what is the time taken by B to do the same work alone?
If B and C together can do a piece of work in 4 hours, what is the time taken by B to do the same work alone?
- 6 hours
- 12 hours (correct)
- 8 hours
- 24 hours
What is the ratio of the work done by A, B, and C together in 1 hour to the work done by B and C together in 1 hour?
What is the ratio of the work done by A, B, and C together in 1 hour to the work done by B and C together in 1 hour?
- 9:8
- 3:2
- 5:4
- 7:6 (correct)
In how many days can X complete the whole work?
In how many days can X complete the whole work?
- 40 days (correct)
- 10 days
- 20 days
- 30 days
If A can do a piece of work in 7 days of 9 hours each, what is the time taken by A to do the same work in 8 hours a day?
If A can do a piece of work in 7 days of 9 hours each, what is the time taken by A to do the same work in 8 hours a day?
If 5 percent is lost in grinding wheat, a country has to import 20 million bags to make up of the loss. What is the total quantity of wheat in million bags?
If 5 percent is lost in grinding wheat, a country has to import 20 million bags to make up of the loss. What is the total quantity of wheat in million bags?
If A and B can do a piece of work together in 2.5 days, what is the time taken by B to do the same work alone?
If A and B can do a piece of work together in 2.5 days, what is the time taken by B to do the same work alone?
What is the time taken by A and B together to do the same piece of work?
What is the time taken by A and B together to do the same piece of work?
Who among X, Y, and Z will complete the work first?
Who among X, Y, and Z will complete the work first?
What is the time taken by A and B together to do the same piece of work, working 8 hours a day?
What is the time taken by A and B together to do the same piece of work, working 8 hours a day?
What is the total quantity of wheat in million bags, when 5 percent is lost in grinding?
What is the total quantity of wheat in million bags, when 5 percent is lost in grinding?
What is the time taken by B to do the same piece of work, if B and C together can do it in 4 hours?
What is the time taken by B to do the same piece of work, if B and C together can do it in 4 hours?
What is the ratio of the work done by A in one day to the work done by B in one day?
What is the ratio of the work done by A in one day to the work done by B in one day?
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Study Notes
Work and Time Problems
- A can do a piece of work in 6 hours, B and C together can do it in 4 hours, and 2A, B and C together can do it in 2 hours.
- This means that A's rate of work is 1/6 of the work per hour, B and C's combined rate is 1/4 of the work per hour, and 2A, B and C's combined rate is 1/2 of the work per hour.
Comparing Work Rates
- X can do 1/4 of a work in 10 days, Y can do 40% of the work in 4 days, and Z can do 1/13 of the work in 1 day.
- This means X's rate of work is 1/40 of the work per day, Y's rate is 10% of the work per day, and Z's rate is 1/13 of the work per day.
Work Together
- A can do a piece of work in 7 days of 9 hours each, whereas B can do the same work in 6 days of 7 hours each.
- This means A's rate of work is 1/63 of the work per hour, and B's rate is 1/42 of the work per hour.
Importing Wheat
- When 5% of wheat is lost, a country has to import 20 million bags to make up for the loss.
- When 2% of wheat is lost, a country has to import 15 million bags.
- This means the total wheat produced in the country is 400 million bags (because 5% of 400 million is 20 million and 2% of 400 million is 8 million).
Work and Time Problems
- A can do a piece of work in 6 hours, B and C together can do it in 4 hours, and 2A, B and C together can do it in 2 hours.
- This means that A's rate of work is 1/6 of the work per hour, B and C's combined rate is 1/4 of the work per hour, and 2A, B and C's combined rate is 1/2 of the work per hour.
Comparing Work Rates
- X can do 1/4 of a work in 10 days, Y can do 40% of the work in 4 days, and Z can do 1/13 of the work in 1 day.
- This means X's rate of work is 1/40 of the work per day, Y's rate is 10% of the work per day, and Z's rate is 1/13 of the work per day.
Work Together
- A can do a piece of work in 7 days of 9 hours each, whereas B can do the same work in 6 days of 7 hours each.
- This means A's rate of work is 1/63 of the work per hour, and B's rate is 1/42 of the work per hour.
Importing Wheat
- When 5% of wheat is lost, a country has to import 20 million bags to make up for the loss.
- When 2% of wheat is lost, a country has to import 15 million bags.
- This means the total wheat produced in the country is 400 million bags (because 5% of 400 million is 20 million and 2% of 400 million is 8 million).
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