15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take , if 3 women do as much work as 2 men ?

15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take , if 3 women do as much work as 2 men ? Correct Answer 30

3 women can do as much work as 2 men ∴ efficiency of women to do a piece of work, e2 = (1/3) ∴ efficiency of men to do a piece of work, e1 = (1/2) We know, Total work done = (no. of men or women) * (no. of days) * (no. of hours) * (efficiency) Therefore, m1 * d1 * h1 * e1 = m2 * d2 * h2 * e2 or, 15 * 21 * 8 * (1/2) = 21 * d2 * 6 * (1/3) or, d2 = 30 days
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