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?

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Question: 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?
[A].

3 : 4

[B].

4 : 3

[C].

5 : 3

[D].

Data inadequate

Answer: Option B

Explanation:

(20 x 16) women can complete the work in 1 day.

1 woman’s 1 day’s work = 1 .
320

(16 x 15) men can complete the work in 1 day.

1 man’s 1 day’s work = 1
240
So, required ratio
= 1 : 1
240 320
= 1 : 1
3 4
= 4 : 3 (cross multiplied)