10 women can complete a work in 7 days and 10 children take 14 days to complete

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: Option C

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

1 child's 1 day's work = \(\frac{1}{140}\)

5 women + 10 children)'s day's work = \(\left(\frac{5}{70}+\frac{10}{140}\right)=\left(\frac{1}{14}+\frac{1}{14}\right) =\frac{1}{7}\)

So, 5 women and 10 children will complete the work in 7 days.

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