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Question

Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 12 of capacity in 3 hours and a second inlet pipe fills the same empty tank to 23 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?

A
3.25
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B
3.6
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C
4.2
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D
4.4
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E
5.5
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Solution

The correct option is B 3.6
The first pipe fills half tank in 3 hrs. So, it must take 6 hrs to fill the complete tank.
The second pipe takes 6 hrs to fill 2/3 of the tank. So it must take 9 hrs to fill the tank completely.
To fill the complete tank together they will need,
11/6+1/9 = 185 = 3.6 hrs.

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