Quantitative Aptitude Ques 2291

Question: 20 men can complete a piece of work in 16 days. After 5 days from the start of the work, some men left. If the remaining work was completed by the remaining men in $ 18\frac{1}{3},days, $ how many men left after 5 days from the start of the work?

Options:

A) 4

B) 10

C) 8

D) 5

E) 6

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let x men left the work after 5 days. Remaining days $ =16-5=11days. $ Then, $ \frac{W}{20\times 11}=\frac{W}{(20-x)\times \frac{55}{3}} $

$ \Rightarrow $ $ 20\times 11=(20-x)\times \frac{55}{3} $
$ \Rightarrow $ $ 220=\frac{1100}{3}-\frac{55x}{3} $

$ \Rightarrow $ $ \frac{55x}{3}=\frac{1100}{3}-220 $

$ \Rightarrow $ $ x=\frac{440}{55}=8,men $

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