Time And Work Ques 17
Question-
14 men can do a work in 18 days. 15 women can do the same work in 24 days. If 14 men work for first three days and 10 women work after that for three days, find the part of work left after that?
(1) $\frac{3}{4}$
(2) $\frac{1}{4}$
(3) $\frac{1}{2}$
(4) $\frac{1}{6}$
(5) $\frac{1}{5}$
(IBPS Bank PO/MT CWE-VI (Pre.), 16.10.2016 (Second Sitting))
Show Answer
Correct Answer: (1)
Solution: (1)
Work done by 14 men in 3 days days $=\frac{3}{18}=\frac{1}{6}$
Work done by 10 women in 3 days $=W_{1}$
$\therefore M_{1} D_{1}=M_{2} D_{2}$
$\Rightarrow 15 \times 24=\frac{10 \times 3}{W_{1}}$
$\Rightarrow W_{1}=\frac{10 \times 3}{15 \times 24}=\frac{1}{12}$
$\therefore$ Total work done $=\frac{1}{6}+\frac{1}{12}=\frac{2+1}{12}=\frac{1}{4}$
$\therefore$ Remaining work $=1-\frac{1}{4}=\frac{3}{4}$