Question: A cistern is normally filled in 8 h but takes another 2 h longer to till because of a leak in its bottom. If the cistern is full, then the leak will empty it in,
Options:
A) 16 h
B) 25 h
C) 20 h
D) 40 h
Show Answer
Answer:
Correct Answer: D
Solution:
- Suppose, leak will empty the cistern in x h.
Pan filled of tank in $ 1h=\frac{1}{8}-\frac{1}{x}=\frac{x-8}{8x} $
$ \therefore $ Cistern will fill in $ \frac{8x}{8-x}h. $
Again, $ \frac{8x}{-,8+x}=8+2=10 $
$ \Rightarrow $ $ 8x=-,80+10x $
$ \Rightarrow $ $ 2x=80 $
$ \Rightarrow $ $ x=40 $