An electric pump can fill a tank in 5 hours. Due to a leakage in the tank. it takes hours to fill the tank. How much time will this leak take to empty the full tank if water does not get in or out of the tank through any other point during this period?
Given:
Time taken by electric pump to fill the tank = 5 hours
Time taken to fill the tank with the leakage = hours
Formula Used:
Let total work to fill the tank be 1.
Then work done by a pipe in 1 hour
Solution:
Work done by electric pump in 1 hour will be
Work done by both pump and leakage working together in 1 hour will be
Then work done by leakage in one hour =
Minus sign indicates flow out of tank
Hence time taken by leakage to empty the tank
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