A can do a work in 19 days and B in 29 days. In how many days will they complete 75% of the work together? MCQ with Answer and Explanation

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A can do a work in 19 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 13.61

B. 11.11

C. 16.11

D. 8.61

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined time for full work multiplied by 0.75 = 8.61 days.

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. 20

B. 18

C. 25

D. 15

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Correct Answer: Option D

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