A) 20 days
B) 21 days
C) 21.4 days
D) 25 days
Correct Answer: D
$ \therefore $ $ \frac{1}{x}+\frac{3}{2x}=\frac{1}{15} $
$ \Rightarrow $ $ \frac{5}{2x}=\frac{1}{15} $
$ \Rightarrow $ $ x=\frac{75}{2} $
Hence, time taken by $ A=\frac{2}{3}\times \frac{75}{2}=25days $