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?

• A. 5
• B. 7
• C. 9
• D. None of these

Answer 1

The correct option is B

7

1 woman 1 day’s work =$\frac{1}{70}$

1 child 1 day’s work =$\frac{1}{140}$

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

$\therefore$ The total work will be completed in 7 days.