Two pipes can separately fill the tank in 15hrs and 30hrs respectively Both the pipe are opened and ...........

Quantitative Aptitude ( CCS) Pipes&cistern

Two pipes can separately fill the tank in 15hrs and 30hrs respectively. Both the pipe are opened and when the tank is 1/3 full a leak is developed due to which 1/3 water supplied by the pipe leaks out. What is the total time to fill the tank?

20/3 hr

35/3 hr

40/3 hr

50/3 hr

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Explanation:

Answer & Explanation
Answer – c) 40/3 hr
Explanation :
(1/15 + 1/30)*T1 = 1/3, T1 = 10/3 hr
now after leak is developed, [(1/15 + 1/30) – (1/3)*(1/15 + 1/30)]*T2 = 2/3
T2 = 10 hr. So total time = 10 + 10/3 = 40/3 hr