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 $