10 men can complete a piece of work in 20 days while 20 women can complete the same work in 25 days. Find the number of days required to complete 3/4th of the total work if 5 men and 40 women work together.
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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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