Time And Work Ques 13
Question-
The ratio of work done by 20 men to work done by 30 women in same time is $8: 5$. If 10 men and 18 women can do a work in 12 days, how many men would be required to finish it in 14 days
(1) 10
(2) 12
(3) 14
(4) 15
(5) None of these
(IBPS Bank PO/MT CWE (Main) 18.11.2016)
Show Answer
Correct Answer: (4)
Solution: (4)
$\frac{20 \hspace{1mm} men}{30 \hspace{1mm} women}=\frac{8}{5}$
$\Rightarrow 1 woman=\frac{2}{3} \times \frac{5}{8} men=\frac{5}{12} men $
$\Rightarrow 10 men+18 women$ $=10 men+18 \times \frac{5}{12} men$ $=\left(10+\frac{15}{2}\right) men=\frac{35}{2}$ men
Number of men required to finish the work in 14 days $=\frac{35}{2} \times \frac{12}{14}=15 men$
BETA
