One pipe fill 1 4 of the tank in 4 minutes and another pipe fills 1 5 of the tank in 4 minutes Find ...........

Quant (SSC) Pipes&cistern

One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 of the tank in 4 minutes. Find the time taken by both pipe together to fill half the tank?

40/9 minutes

50/9 minutes

44/9 minutes

53/9 minutes

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Explanation:

First pipe will take 16 minutes to fill the tank alone.
Similarly second pipe will take 20 minutes to fill the tank alone.
Let T is the time in which both the pipes will fill half the tank
(1/16 + 1/20)*T = 1/2,
we get T = 40/9 minutes