Question

3 men can do as much work as 5 women 10 children. If 40 children can finish a work in 7 days, then 6 men, 5 women and 5 children will finish the same work in

• A. 8 days
• B. 9 days
• C. 10 days
• D. none

Answer 1

The correct option is A 8 days

3 men =5 women =10 children
6 men + 5 women + 5 children =6 men + 3 men + 1.5 men = 10.5 men.
Now, 12 men =40 children who can do the job in 7 days
$\therefore$ 10.5 m will do it in $\frac{7\times 12}{10.5}$ days i.e., 8 days.