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]