Question

If 8 men or 12 women can do a piece of work in 10 days, then what is the number of days required by 4 men and 4 women to finish the work?

• A. $22$ days
• B. $10$ days
• C. None of these
• D. $12$ days

Answer 1

Answer: (D)

The correct option is A $12$ days
$8$ men $=12$ women $\Rightarrow$ $4$ men $=6$ women

$\therefore$ $4$ men $+4$ women $=6$ women $+4$ women $=10$ women

Given, $12$ women can do a piece of work in 10 days

$\Rightarrow$ 1 women can do the same work in $(12\times 10)$ days

$\Rightarrow$ 10 women can do the same work in $\frac{12\times 10}{10}$ days $=12$ days.