A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours If bot...........

Quant (SSC) Pipes&cistern

A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?

7 hours

7.1 hours

7.2 hours

7.3 hours

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Explanation:

When we have question like one is filling the tank and other is empting it, then we subtraction as,
Filled in 1 hour = 1/4
Empties in 1 hour = 1/9
Net filled in 1 hour = 1/4 - 1/9
= 5/36
So cistern will be filled in 36/5 hours i.e. 7.2 hours