Time And Work Ques 47

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

(Indian Bank PO (Pre.) Exam, 21.01.2017 (2nd Sitting))

Show Answer

Correct Answer: (3)

Solution: (3)

Let 12 women do the work for $x$ days.

$\therefore M_{1} D_{1}=M_{2} D_{2}+M_{3} D_{3}$

$\Rightarrow 12 \times 16=12 x+8 \times 18$

$\Rightarrow 192=12 x+144$

$\Rightarrow 12 x=192-144=48$

$\Rightarrow x=\frac{48}{12}=4$

$\therefore$ Required time $=18+4$ $=22$ days