Twenty women can do a work in sixteen days. Sixteen men can complete the same wo

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?

Options:

A . 3 : 4

B . 4 : 3

C . 5 : 3

D . Data inadequate

Answer: Option B

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

So, 1 woman's 1 day's work = \(\frac{1}{320}\)

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

so, 1 man's 1 day's work = \(\frac{1}{240}\)

So, required ratio = \(\frac{1}{240}:\frac{1}{320}\)

= \(\frac{1}{3}:\frac{1}{4}\)

= 4 : 3 (cross multiplied)

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