Question

10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?

• A. 6
• B.
• C.
• D.
• E.

Answer 1

The correct option is C

10 men’s 1 day’s work =$\frac{1}{15}$

15 women’s 1 day’s work = $\frac{1}{12}$

(10 men + 15 women)’s 1 day’s work =$(\frac{1}{15}+\frac{1}{12})=\frac{9}{60}=\frac{3}{20}$

$\therefore$ 10 men and 15 women will complete the work in $\frac{3}{20}=6\frac{2}{3}$days.