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15 women can do a work in 20 days. 12 men can complete the same work in 10 days. What is the ratio between the efficiency of a man and a woman?

1. 3:2
2. 5:2
3. 4:3
4. 5:3

Correct answer: 5:2

Solution

15 women finish the work in 20 days, so 1 woman's 1-day work is 1/(15×20). Similarly, 12 men finish it in 10 days, so 1 man's 1-day work is 1/(12×10). The ratio of efficiency of a man to a woman is therefore [1/120] : [1/300] = 300:120 = 5:2.

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