Discussion Forum

15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men ?

Answer:

Explanation:

3 women = 2 men. So, 21 women = 14 men.

Less men. More days (Indirect Proportion)

Less hours per day, More days (Indirect Proportion)

$\left\{\begin{array}{c}Men\quad\quad\quad 14:5\\ Hours/Day\quad 6:8\end{array}\right\}::21:x$

$(14\times 6\times x)$ $=(15\times 8\times 21)$  $\Leftrightarrow x=\frac{15\times 8\times 21}{14\times 6}$ = 30.

Required number of days = 30.