14.10 men can complete a piece of work in 15 days and 15 women can complete
the same work in 12 days. If all the 10 men and 15 women work together, in how
many days will the work get completed?
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Step-by-step explanation:
10 men *15 days = 150 man-days. So 1 man does (1/150)th of the work in a day.
15 women *12 days = 180 woman-days. So 1 woman does (1/180)th of the work in a day.
So 10 men and 15 women do (10/150)+(15/180) = (60/900)+(75/900) = 135/900 or (15/100)th part of the work in 1 day
So 10 men and 15 women will complete the work in 100/15 = 6.67 days.
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