Question: A does 20% less work than B. If A complete a piece of work in $ 7\frac{1}{2}h, $ then B can do it in
Options:
A) $ 6\frac{1}{2}h $
B) $ 6h $
C) $ 5\frac{1}{2}h $
D) $ 5h $
Show Answer
Answer:
Correct Answer: B
Solution:
- Let the slower pipe fills a tank in $ xh, $ then faster pipe fills the tank in $ \frac{x}{3}h. $
Now, $ \frac{1}{x}+\frac{1}{x/3}=\frac{1}{36}\times 60h $
$ \Rightarrow $ $ \frac{1}{x}+\frac{3}{x}=\frac{60}{36} $
$ \Rightarrow $ $ \frac{4}{x}=\frac{60}{36} $
$ \Rightarrow $ $ =\frac{12}{5}=2h24\min $