Practice mode Pipes and Cistern

Pipes A and B can fill a tank in 20 and 30 minutes respectively. Both are opened together, but A is turned off 5 minutes before the tank is full. How long does the tank take to fill?

Correct answer A. 15 minutes

Explanation

If total time is t, then (t − 5)/20 + t/30 = 1. So 3t − 15 + 2t = 60, giving t = 15 minutes.

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