Quantitative Aptitude Ques 1734
Question: 20 men complete one-third of a work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days?
Options:
A) 10
B) 12
C) 15
D) 20
E) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- Work done $ =\frac{1}{3} $ Remaining work $ =( 1-\frac{1}{3} )=( \frac{3-1}{3} )=\frac{2}{3} $ Let the number of more men to be employed be x. More work, more men (Direct proportion) More days, less men (Indirect proportion) $ . \begin{aligned} & Work,\frac{1}{3}:\frac{2}{3} \\ & Days25:20 \\ \end{aligned} }::20:(20+x) $
$ \therefore $ $ \frac{1}{3}\times 25\times (20+x)=\frac{2}{3}\times 20\times 20 $
$ \Rightarrow $ $ (20+x)=\frac{800}{25}=32 $
$ \therefore $ $ x=32-20=12 $
BETA
