Question

20 women can do a work in 16 days. 16 men can complete the same work in 15 days. What is the ratio of the capacity of a man to that of a woman?

• A. 3:4
• B. 4:3
• C. 5:3
• D. Data Inadequate
• E. None of these

Answer 1

The correct option is B

4:3

$(20\times 16)$ woman can complete the work in 1 day
$\therefore$ 1 woman's 1 day's work $=\frac{1}{320}$
$(16\times 15)$ men can complete the work in 1 day
$\therefore$ 1 man's days's work $=\frac{1}{240}$
So, required ratio $=\frac{1}{24}:\frac{1}{320}=4:3$