Question

5 men or 8 women can reap a field in 12 days. Find the number of days (approximately) taken by 3 men and 4 women to reap the same field.

A

10

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B

11

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C

12

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D

13

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Solution

The correct option is B 11 5 men can reap a field in 12 days and 8 women can also reap the same field in 12 days. So, equation the amount of work done in both the cases: 5 * 12 man days = 8 * 12 woman days à 5 man days = 8 woman days à 1 man day = 1.6 woman days Now when 3 men and 4 women are working then as 1 man day = 1.6 woman day, 1 man working for 1 day is equal to 1.6 woman working for 1 day. Hence 3 men and 4 women = (3 * 1.6) + 4 = 8.8 women. So, amount of days taken = 8 * 12/8.8 = 11 days (approx).

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