Question

If $12$ men or $18$ women can reap a field in $7$ days, in how many days can $4$ men & $8$ women reap the same field?

Answer 1

$12$ men $=18$ women
$\therefore$ $4$ men $=$ $6$ women
$4$ men $+$ $8$ women $=$ $6$ women $+$ $8$ women $=$ $14$ women
Total work done $=$ $18\times 7$ women $-$ days
$\therefore$ No. of days required to complete this work by $4$ men
and $8$ women $=$ $14$ women is $=$ $\frac{18\times 7}{14}=9$ days