Two pipes can fill a tank in 15 and 20 hours respectively The pipes are opened simultaneously and it...........

Quant (SSC) Pipes&cistern

Two pipes can fill a tank in 15 and 20 hours respectively. The pipes are opened simultaneously and it is found that due to the leakage in the bottom, 17/7 hours extra are taken extra to fill the tank. If the tank is full, in what approximate time would the leak empty it?

27 hrs

32 hrs

36 hrs

39 hrs

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Explanation:

Total time taken by both pipes before the leak was developed = 60/7 hours
now, leaks is developed which will take T time to empty the tank so, (1/15 +1/20 – 1/T) = 1/11
solve for T, we will get 660/17 hours = 39 hours (approx.)