1)

If 5 men or 9 women can do a piece of work in 19 days. 3 men and 6 women will do the same work in ?


A) 10 days

B) 15 days

C) 12 days

D) 7 days

E) 9 days

Answer:

Option B

Explanation:

5 men = 9 women

1 man $=\frac{9}{5}$ women

3 men  + 6 women $=\left(3\times\frac{9}{5}+6\right)$ $=\frac{57}{5}$ women

Given 9 women can do a piece of work in 19 days

$\frac{57}{5}$ women can do the same work in $\frac{(19\times 9\times 5)}{57}$ = 15 days