A cistern normally takes 10 hours to be filled by a tap but because of one open outlet pipe it takes...........

Quantitative Aptitude ( CCS) Pipes&cistern

A cistern normally takes 10 hours to be filled by a tap but because of one open outlet pipe, it takes 5 hours more. In how many hours will the outlet pipe will empty a full cistern?

20 hours

24 hours

30 hours

40 hours

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Explanation:

As cistern is filled in 10 hours, therefore in 1 hour, filled part → 1/10th
Now, due to outlet pipe, filled part in 1 hour = 1/15th
Part of the cistern emptied, due to leakage in 1 hour = 1/10 - 1/15 = 1/30th
Therefore the leak will empty the full cistern in 30 hrs.