Question

If 16 men or 20 women can do a piece of work in 25 days, in what time will 28 men and 15 women do it?

• A. $14\frac{2}{7}$
• B. $33\frac{1}{3}$
• C. $18\frac{3}{4}$
• D. $10$ days

Answer 1

The correct option is D $10$ days

16 men = 20 women $\Rightarrow$ 4 men = 5 women
$\therefore$ 28 men + 15 women = 35 women + 15 women = 50 women
20 women can complete a work in 25 days.
$\therefore$ 1 woman can complete the work in $(25\times 20)$ days
$\therefore$ 50 women can complete the work in $\left(\frac{25\times 20}{50}\right)$ days = 10 days.