A is twice as good as B as a workman. A takes 30 days less than B. How many days does both complete the work?
Answer: 20 days
Explanation
A is twice as good as B, so A's work rate is 2 times that of B.
Since A takes 30 days less than B, let's assume B takes x days to complete the work. Then, A takes x - 30 days to complete the same work.
Since A is twice as good, A's work rate is 2 times that of B, so A completes the work in half the time it takes B. Therefore, x - 30 = (1/2)x
Solving the equation, we get x = 60 days for B and x - 30 = 30 days for A.
Since A and B are working together, their combined work rate is the sum of their individual work rates. So, the total work is completed in (60 * 30) / (60 + 30) = 1800 / 90 = 20 days.
Therefore, the correct answer is: 20 days
This question appeared in
Past Papers (4 times)
PPSC 5 Years Past Papers Subject Wise (Solved with Details) (2 times)
PPSC Assistant Past Papers PDF (1 times)
PPSC Past Papers (1 times)
This question appeared in
Subjects (1 times)
MATHS MCQS (1 times)
Related MCQs
- 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.
- A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will B alone finish the work?
- 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?
- 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 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?
- 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?
- P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?
- 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 _________
