Question

$10$ women can complete a work in $7$ days and $10$ children take $14$ days to complete the work. How many days will $5$ women and $10$ children take to complete the work?

Answer 1

$1$ woman's 1 day's work = $\frac{1}{70}$

$1$ Child's $1$ day's work = $\frac{1}{140}$

$5$ Women and $10$ children $1$ day work = [( $\frac{5}{70}$+ $\frac{10}{140}$)] = $\frac{1}{7}$

So $5$ women and $10$ children will finish the work in $7$ days.