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 job to complete the remaining work, if it is to be completed in 3 days?
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15
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22
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18
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Data inadequate
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None of these
A
Correct answer
Explanation
12 men in 4 days means total work = 48 man-days. So 1 man does 1/48 of work per day. 6 men work for 2 days, completing 6 × 2 × (1/48) = 12/48 = 1/4 of work. Remaining 3/4 work must be done in 3 days. 15 women complete full work in 4 days, so 1 woman does 1/60 per day. In 3 days, 15 women do 15 × 3 × (1/60) = 45/60 = 3/4 of work. Exactly what's needed.