SATHEE: Quantitative Aptitude Ques 1734

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 $

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