Question

12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?

• A. 15
• B. 18
• C. 19
• D. Data inadequate
• E. None of these

Answer 1

The correct option is A

15

1 man’s 1 day’s work =$\frac{1}{48}$ ,

1 woman’s 1 day’s work = $\frac{1}{60}$

6 men’s 2 day’s work = $(\frac{6}{48}\times 2)=\frac{1}{4}$

$\therefore$ Remaining work = $(1-\frac{1}{4})=\frac{3}{4}$

Now,$\frac{1}{60}$ work is done in 1 day by 1 woman.

So,$\frac{3}{4}$ work will be done in 3 days by =$(60\times \frac{3}{4}\times \frac{1}{3})=15women$