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?
3
5
7
Cannot be determined
Explanation:
1 womans 1 days work =$ \dfrac{1}{70} $
1 childs 1 days work =$ \dfrac{1}{140} $
$\left(5 women + 10 children\right)$s days work =$ \left(\dfrac{5}{70} +\dfrac{10}{140} \right) $=$ \left(\dfrac{1}{14} +\dfrac{1}{14} \right) $=$ \dfrac{1}{7} $
$\therefore$ 5 women and 10 children will complete the work in 7 days.