If A and B together can complete a piece of work in 15 days and B alone in 20 days, then in how many days can A alone complete the work?
Answer: 60 days
Explanation
B alone can complete the work in 20 days, so B's work rate is 1/20 of the work per day.
A and B together can complete the work in 15 days, so their combined work rate is 1/15 of the work per day.
Since B's work rate is 1/20, A's work rate can be found by subtracting B's work rate from their combined work rate: (1/15 - 1/20) = 1/60 of the work per day.
Therefore, A alone can complete the work in 60 days.
So, the correct answer is: 60 days.
This question appeared in
Past Papers (9 times)
PPSC 5 Years Past Papers Subject Wise (Solved with Details) (4 times)
PPSC Assistant Past Papers PDF (2 times)
This question appeared in
Subjects (2 times)
MATHS MCQS (2 times)
Related MCQs
- 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job, and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?
- P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in _______ days.
- Sixteen men can complete a work in twelve days. Twenty-four children can complete the same work in eighteen days. Twelve men and eight children started working and after eight days three more children joined them. How many days will they now take to complete the remaining work?
- Shaista completes a piece of work in 10 days, All completes the same work in 40 days, if they work together, the days required to complete the work will be _________
- Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?
- 12 men can complete a work in 90 days. 30 days after they started work, 2 men left and 8 men joined. How many days will it take to complete the remaining work_____?
- 12 men work 8 hours a day to complete a piece of work in 10 days. to complete the same work in 8 days, working 15 hours a day, the number of men required is.
- A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the whole work, the daily wages of B and C are:
- A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in ____?
- A completes a work in 12 days. B completes the same work in 15 days. A started working alone and after 3 days B joined him. How many days will they now take together to complete the remaining work?