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?

Pipes and Cisterns 30/11/2021

A. 6 min. to empty
B. 6 min. to full
C. 9 min. to empty
D. 9 min. to full

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
1/15 : 2/5 :: 1 : x
x = (2/5 * 1 * 15) = 6 min.
So, the tank will be emptied in 6 min.

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