A and B work together. A alone can complete the work in 24 days and B alone in 26 days. What percentage of the total daily work is contributed by A? MCQ with Answer and Explanation

Question

A and B work together. A alone can complete the work in 24 days and B alone in 26 days. What percentage of the total daily work is contributed by A?

A. 52.0

B. 57.0

C. 54.5

D. 59.5

Answer: Option A

Solution (By JKSSB Mock Tests)

A share = (1/24) / (1/24+1/26) ×100 = 52.0%.

This question belongs to: Maths Time and Work

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12 men can complete a work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working and after 2 days, all of them stop working. How many women should be put on the job to complete the remaining work in 3 days?

A. 15

B. 18

C. 25

D. 20

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Correct Answer: Option A

Explanation:
Total work = 12M * 4 = 48 man-days = 15W * 4 = 60 woman-days. So, 48M = 60W => 4M = 5W => 1M = 1.25W. Work done by 6 men in 2 days = 12 man-days. Remaining work = 48 - 12 = 36 man-days. Converting to woman-days: 36 * 1.25 = 45 woman-days. To complete 45 woman-days in 3 days, number of women required = 45 / 3 = 15 women.

This question belongs to: Maths Time and Work