Quantitative Aptitude Ques 2008

Question: A tank can be filled by a tap in 20 min and by another tap in 60 min. Both the taps are kept open for 5 min and then the 1st tap is shut off. After this, how much time the tank will be completely filled?

Options:

A) 20 min

B) 30 min

C) 45 min

D) 40 min

Show Answer

Answer:

Correct Answer: C

Solution:

  • Part of the tank filled by both taps in 5 min $ =5\times ( \frac{1}{20}+\frac{1}{60} )=\frac{5\times (6+2)}{120}=\frac{8}{24}=\frac{1}{3} $

$ \therefore $ Remaining part $ =( 1-\frac{1}{3} )=\frac{2}{3} $ $ \because $ $ \frac{1}{60} $ part is now filled in 1 min.

$ \therefore $ $ \frac{2}{3} $ part is now filled in $ =60\times \frac{2}{3}=40\min $

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