Question

If 12 men or 18 women can complete a piece of work in 7 days, in how many days can 4 men and 8 women complete the same work?

Answer 1

12 men
= 18 women
$\therefore 4m=\frac{18}{12}\times 4$
$=6women$
Total women in second case = 4 men + 8 women
6 + 8 = 14 women
18 women can do a piece of work in 7 days
Let 14 women will do the same work in x days.
$\therefore 18:14::7:x$
(Less women, more days)
$\Rightarrow 18:14::x:7$
(Using inverse proportion)
$x=\frac{18\times 7}{14}$
= 9
$\therefore$ They will complete the work in 9 days.