Question
15 men and 25 women can complete a piece of work in 9.6
days. If 16 women can complete the same work in 27 days, find the number of days in which 16 men can complete the same work.Solution
Let the men's efficiency = M Women's efficiency = W ATQ- Â (15M + 25W) x 9.6 = 16W x 27 (15M + 25W) x 16 = 16W x 45 (15Mx16) + (25W x 16) = 16W x 45 (15M x 16) = (16W x 45) - (25W x 16) (15M x 16) = (16 x 20W) 15M = 20W M/W = 20/15 = 4/3 Total work = 16W x 27 = 16 x 3 x 27 Time taken to complete the total work by 16 men = (16 x 3 x 27)/ (16 x 4) =81/4 = 20.25 days
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