[4 : 3] Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days.

For Competitive Exams

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

4 : 3

5 : 3

Data inadequate

Explanation:

$\left(20 \times 16\right)$ women can complete the work in 1 day.

$\therefore$ 1 womans 1 days work =$ \dfrac{1}{320} $.

$\left(16 \times 15\right)$ men can complete the work in 1 day.

$\therefore$ 1 mans 1 days work =$ \dfrac{1}{240} $

So, required ratio =$ \dfrac{1}{240} $:$ \dfrac{1}{320} $

=$ \dfrac{1}{3} $:$ \dfrac{1}{4} $

= 4 : 3 [cross multiplied]

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