Question
12 men can finish a work in 20 days by working 6 hours a day. How many more men are needed to finish the work in 12 days by working 6 hours a day?
Solution
Let the efficiency of a man be 'x' units/day. Let number of extra men needed to finish the work be 'y'. ATQ; Total work = (12 + y) × x × 12 × 6 = 12 × x × 20 × 6 Or, 12 + y = 20 So, y = 20 − 12 = 8 Therefore, the number of extra men required = y = 8
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