Question

If $7$ men or $9$ women can do a piece of work in $32$ days, in what time $7$ men and $9$ women will complete $\frac{1}{2}$ of the work?

Answer 1

Since
7 Men = 9 Women
$\therefore$ 7 men and 9 women = 14 men = 18 women
Now,
Men Work done Time (days)
7 $\uparrow$ 1 $\downarrow$ 32 $\downarrow$
14 1/2 x
$\frac{x}{32}=\frac{7}{14}\times \frac{1/2}{1}$
$\therefore =\frac{7}{14}\times \frac{1}{2}\times 32=8days$