Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Time and Work > Miscellaneous

1. 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. 3

B. 5

C. 7

D. Cannot be determined

Solution:

\begin{aligned} 1 w o m a n^{'} s 1 d a y^{'} s w o r k = \frac{1}{70} \\ 1 child's 1 day's work = \frac{1}{140} \\ (5 women + 10 children)'s day's work \\ = \frac{5}{70} + \frac{10}{140} = \frac{1}{14} + \frac{1}{14} = \frac{1}{7} \\ ∴ 5 women and 10 chidren will complete \\ the work in 7 days \end{aligned}

You must login to add comments. Login now.