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?

3 : 4

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4 : 3

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5 : 3

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Solution

The correct option is D $4 : 3$
$(20 \times 16)$ women can complete the work in $1$ day.
$∴$ $1$ women's $1$ day's work $= \frac{1}{320}$ .
$(16 \times 15)$ men can complete the work in $1$ day.
$∴$ $1$ 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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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?

The correct option is D 4:3(20×16) women can complete the work in 1 day.∴ 1 women's 1 day's work =1320.(16×15) men can complete the work in 1 day.∴ 1 man's 1 day's work =1240So, required ratio =1240:1320=13:14=4:3 (cross multiplied)