Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
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)22
(d)Data inadequate
(e)None of these
Answer
Answer (as printed): A
Explanation
1 man's 1 day's work $=\frac{1}{48}$; 1 woman's 1 day's work $=\frac{1}{60}$. 6 men's 2 days' work $=\left(\frac{6}{48} \times 2\right)=\frac{1}{4}$. Remaining work $=\left(1-\frac{1}{4}\right)=\frac{3}{4}$. 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 $\left(60 \times \frac{1}{3} \times \frac{3}{4}\right)=15$ women.
Explanation as extracted from the printed page; notation may be imperfect.