Multiple choice

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

  1. 4 : 3

  2. 3 : 4

  3. 5 : 3

  4. Data inadequate
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A Correct answer
Explanation

Let M be the capacity of a man and W be the capacity of a woman. Total work = 20W * 16 = 320W. Also, Total work = 16M * 15 = 240M. So 320W = 240M. M/W = 320/240 = 4/3. The ratio of man to woman is 4:3.

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