SATHEE: Quantitative Aptitude Ques 1674

Quantitative Aptitude Ques 1674

Question: 40 men complete one-third of a work in 40 days. How many more men should be employed to finish the rest of the work in 50 more days?

Options:

A) 12

B) 20

C) 18

D) 24

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

Work done $ =\frac{1}{3} $ Remaining work $ =( 1-\frac{1}{3} )=( \frac{3-1}{3} )=\frac{2}{3} $ Let the number of additional men be x. More work, More men [direct proportion] More days, Less men [indirect proportion] $ . \begin{aligned} & Work\frac{1}{3}\text{:}\frac{2}{3} \\ & Days50:40 \\ \end{aligned} }::40:(40+x) $

$ \therefore $ $ \frac{1}{3}\times 50\times (40+x)=\frac{2}{3}\times 40\times 40 $

$ \Rightarrow $ $ 5\times (40+x)=2\times 40\times 4 $

$ \Rightarrow $ $ 200+5x=320 $

$ \Rightarrow $ $ 5x=320-200=120 $

$ \Rightarrow $ $ x=\frac{120}{5}=24 $

$ \therefore $ Required number of men $ =24 $

Quantitative Aptitude Ques 1673

Quantitative Aptitude Ques 1675

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