Quantitative Aptitude Ques 518

Question: Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time the third pipe alone can empty the cistern? [LIC (ADO) 2015]

Options:

A) 110 min

B) 100 min

C) 120 min

D) 90 min

E) 130 min

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] Work done by third pipe in 1 min $ =\frac{1}{50}-( \frac{1}{60}+\frac{1}{75} ) $ $ =( \frac{1}{50}-\frac{3}{100} )=-\frac{1}{100} $ [neglect $ (-ve) $ sing) Therefore, the third pipe alone can empty the cistern in 100 min.
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