Time And Work Ques 11
Question-
A project requires 12 women to complete it in 16 days. 12 women started working and after a few days from the start of the project, 4 women left. If the remaining project was completed in 18 days, in how many days the whole project was completed?
(1) $24 \frac{1}{2}$
(2) 26
(3) 22
(4) $21 \frac{1}{2}$
(5) 20
(IBPS RRBs Officer Scale-I & II CWE 13.09.2015)
Show Answer
Correct Answer: (3)
Solution: (3)
Work done by 8 women in 18 days $=W_{2}$ (let)
$\therefore \frac{M_{1} D_{1}}{W_{1}}=\frac{M_{2} D_{2}}{W_{2}}$
$\Rightarrow \frac{12 \times 16}{1}=\frac{8 \times 18}{W_{2}}$
$\Rightarrow W_{2}=\frac{8 \times 18}{12 \times 16}=\frac{3}{4}$
$\therefore$ Remaining work $=1-\frac{3}{4}=\frac{1}{4}$
This part of work was done by 12 women.
$\therefore$ Time taken by them $=4$ days
$\therefore$ Required time $=18+4$ $=22$ days
BETA
