A water tank is two fifth full Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 min...........

Quant (SSC) Pipes&cistern

A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?

6 min.to empty

6 min.to fill

9 min.to empty

9 min.to fill

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Explanation:

Clearly,pipe B is faster than pipe A and so,the tank will be emptied.
part to be emptied = 2/5
part emptied by (A+B) in 1 minute=(1/6−1/10)=1/15
115:25::1:x
25*15=6mins
so, the tank will be emptied in 6 min