A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours If the cistern ...........

Quant (SSC) Pipes&cistern

A cistern can be filled in 9 hours but due to a leak at its bottom it takes 10 hours. If the cistern is full, then the time that the leak will take to make it empty will be ?

20 hours

19 hours

90 hours

80 hours

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Explanation:

Part filled without leak in 1 hour = 1/9
Part filled with leak in 1 hour = 1/10
Work done by leak in 1 hour
=1/9−1/10=1/90
We used subtraction as it is getting empty.
So total time to empty the cistern is 90 hours