Time And Work Ques 30
Question-
7 men and 6 women together can complete a piece of work in 8 days and work done by a woman in one day is half the work done by a man in one day. If 8 men and 4 women started working and after 3 days 4 men left the work and 4 new women joined them, in how many more days will the remaining work be completed?
(1) 7 days
(3) 5.25 days
(2) 6 days
(4) 6.25 days
(5) 8.14 days
(IBPS RRBs Officer CWE (Prelim Exam) 18.08.2018)
Show Answer
Correct Answer: (4)
Solution: (4)
According to the question,
1 man $= 2$ women
7 men +6 women $=(14+6)$ women $= 20$ women
8 men +4 women $=(16+4)$ women $= 20$ women
$\therefore$ Work done by 20 women in 3 days $=\frac{3}{8}$
Remaining work $=1-\frac{3}{8}=\frac{5}{8}$
Again, 4 men +8 women $=(8+8)$ women $= 16$ women
$\therefore \frac{M_{1} D_{1}}{W_{1}}=\frac{M_{2} D_{2}}{W_{2}}$
$\Rightarrow 20 \times 8=\frac{16 \times D_{2}}{\frac{5}{8}}$
$\Rightarrow D_{2}=\frac{20 \times 8 \times 5}{16 \times 8}$ $=\frac{24}{4}=6.25$ days
BETA
