Time And Work Ques 42
Question-
6 women and 6 men together can complete a piece of work in 6 days. In how many days can 15 men alone complete the piece of work if 9 women alone can complete the work in 10 days?
(1) 6 days
(2) 5 days
(3) 7.2 days
(4) Cannot be determined
(5) None of these
(Punjab & Sind Bank PO Exam. 23.01.2011)
Show Answer
Correct Answer: 5
Solution: (5)
$\frac{M_{1} D_{1}}{W_{1}}=\frac{M_{2} D_{2}}{W_{2}}$
$ \frac{6 \times 6}{W_{1}}=\frac{9 \times 10}{1} $
$\Rightarrow W_{1}=\frac{6 \times 6}{9 \times 10}=\frac{2}{5}$
$\therefore$ Part of work done by 6 women in 6 days $=\frac{1}{5}$
$\therefore$ Part of work done by 6 men in 6 days $=1-\frac{3}{5}=\frac{2}{5}$
$\frac{M_{1} D_{1}}{W_{1}}=\frac{M_{2} D_{2}}{W_{2}}$
$\Rightarrow \frac{6 \times 6}{\frac{3}{5}}=\frac{15 \times D_{2}}{1}$
$\Rightarrow 15 \times D_{2}=\frac{6 \times 6 \times 5}{3}=60$
$\Rightarrow D_{2}=\frac{60}{15}=4$ days
BETA
