Multiple choice

5 men and 8 women can complete a work in 12 days working together, while 3 men and 7 women together can complete the same work in 15 days. In how many days will 11 women complete the same work?

  1. 12

  2. 8

  3. 6

  4. 16
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let m and w be work done by one man and one woman per day. Total work = (5m + 8w) × 12 = (3m + 7w) × 15. Solving: 60m + 96w = 45m + 105w, so 15m = 9w, meaning 5m = 3w. Total work = 11w × 12 = 132w. Therefore 11 women need 132w ÷ 11w = 12 days. Option A is correct.

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