A) 6 days
B) 12 days
C) 4 days
D) 8 days
Correct Answer: A
$ \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 $