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A cistern can be filled in 9 hours. But due to a leak, it takes one hour more. If the cistern is full, in what time will it become empty due to the le
Question

A cistern can be filled in 9 hours. But due to a leak, it takes one hour more. If the cistern is full, in what time will it become empty due to the leak?

A.

75 hours

B.

60 hours

C.

30 hours

D.

90 hours

Correct option is D

Given:

Pipe A can filled the tank = 9 hours 

With leakage Pipe A can fill the tank = 10 hours 

Solution

Let the total capacity of the tank = 90 unit 

then efficiency of Pipe A = 90\9 = 10 unit /hours 

Efficiency of Pipe A and leakage = 90/10 = 9 unit\hours

Efficiency of Leakage = (10 - 9) unit\hours  = 1 unit\hours

Then the leakage fill empty the full tanke = 90/1 = 90 hours

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