# Moderate Time and Work Solved QuestionAptitude Discussion

 Q. 12 men cam complete a piece of work in 36 days, 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 day, how many women would be required?
 ✔ A. 70 ✖ B. 28 ✖ C. 66 ✖ D. 40

Solution:
Option(A) is correct

12 men in 36 days can do a work.

1 man in a day can do $\dfrac{1}{12\times 36}$work.

8 men in 20 days can do $\dfrac{8\times 20}{12\times 36}=\dfrac{10}{27}$ work.

Similarly, we find that 20 women in 20 days can do $\dfrac{10}{27}$ work.

Remaining work = $\dfrac{7}{27}$

Now, because in 60 days a work is done by 20 women.

In 1 day a work done by $20\times 60$ women.

In 4 days $\dfrac{7}{27}$ work is done by

= $\dfrac{20\times 60\times 7}{27\times 4}$  = 70 women.

## (1) Comment(s)

HEMANTH
()

60 days work done by 18 women .....but u have taken 20 instead of 18....