Quantitative Aptitude Ques 623

Question: A and B together can complete a work in 15 days. A is 50% more efficient worker than B. How long will A take to complete the work alone?

Options:

A) 20 days

B) 21 days

C) 21.4 days

D) 25 days

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let B can do the work in x days. Then, A can do the work $ \frac{2x}{3}days. $ in

$ \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 $