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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.

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