Quantitative Aptitude Ques 132
Question: A and B can do a piece of work in 30 and 36 days, respectively. They began the work together but A leaves after some days and B finished the remaining work in 25 days. After how many days did A leave?
Options:
A) 6
B) 11
C) 10
D) 5
Show Answer
Answer:
Correct Answer: D
Solution:
- A’s one day’s work $ =\frac{1}{30} $ and B’s one day’s work $ =\frac{1}{36} $
$ \therefore $ $ (A+B)’s $ one day’s work $ =\frac{1}{30}+\frac{1}{36}=\frac{11}{180} $ 25 day’s work of $ B=\frac{25}{36} $
$ \therefore $ Remaining work $ =1-\frac{25}{36}=\frac{11}{36} $ A and B can complete work $ \frac{11}{36} $ in $ \frac{11}{36}\div \frac{11}{180}=5,days $ So, A leaves after 5 days.
BETA
