Quantitative Aptitude Ques 679

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 $