Two inlets of tank T are opened simultaneously and it is found that due to leakage in the bottom of ...........

Quantitative Aptitude ( CCS) Pipes&cistern

Study the following graph carefully to answer the given questions
Time taken by pipes to fill tanks in minutes

Two inlets of tank T are opened simultaneously and it is found that due to leakage in the bottom of the tank it took 1 more minute to fill the tank. When the tank is full, in what time will the leak empty it?

42 minutes

45 minutes

48 minutes

44 minutes

40 minutes

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Explanation:

Work done by the two pipes in 1 min = (1/15) + (1/10) = (25/150).
Time taken by these pipes to fill the tank = (150/25) = 6 min
Due to leakage, time taken = 6 + 1 min = 7 min
Work done by two pipes and leak in 1 min = 1/7
Work done by the leak in 1 min = 1/6 – 1/7 = 1/42
Leak will empty the full tank in 42 minutes