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Question

# A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full, in what time will the leak empty it ?

A
19 hours
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B
1 hours
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C
90 hours
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D
35 hours
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Solution

## The correct option is C 90 hoursThe cistern is filled in 9 hrs.∴ In 1 hour, 19 part of the cistern will be filled.Again, it takes (9+1) hours =10 hrs. to fill the cistern due to a leak. ∴ In 1 hour, 110 part of the cistern will be filled when it leakes.So, in 1 hour 19−110 part= 190 part will be emptied.∴ The full cistern will be emptied in 1190 hour =90 hour.

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