Quantitative Aptitude Ques 474

Question: A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?

Options:

A) 6 days

B) 12 days

C) 4 days

D) 8 days

Show Answer

Answer:

Correct Answer: A

Solution:

  • One day’s work of $ A=\frac{1}{12} $

$ \Rightarrow $ 3 day’s work of $ A=\frac{3}{12}=\frac{1}{4} $

$ \therefore $ Remaining work $ =1-\frac{1}{4}=\frac{3}{4} $ Let B can do a work in x days. Then, according to the question, $ 3( \frac{1}{12}+\frac{1}{x} )=\frac{3}{4} $

$ \Rightarrow $ $ \frac{1}{4}+\frac{3}{x}=\frac{3}{4} $

$ \Rightarrow $ $ \frac{3}{x}=\frac{2}{4} $
$ \Rightarrow $ $ x=\frac{12}{2}=6,days $