Quantitative Aptitude Ques 2268

Question: A is thrice as good a workman as B and therefore, able to finish a job in 60 days less than B. Working together they will do it in

Options:

A) 20 days

B) $ 22\frac{1}{2}days $

C) 25 days

D) 30 days

Show Answer

Answer:

Correct Answer: B

Solution:

  • A is thrice as efficient as B. Then, if B takes 3x days, then A can do this in x days. Now, $ 3x-x=60 $

$ \Rightarrow $ $ 2x=60 $

$ \Rightarrow $ $ x=30,days $

$ \therefore $ $ 3x=90days $

$ \therefore $ Working together they can finish the job in $ =\frac{30\times 90}{30+90}=\frac{2700}{120}=22.5,days $

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