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AlgebraVery hardTime to fill a leaking tank

Algebra practice question

A tank is filled by a pipe at 8 litres per minute while a leak drains it at 3 litres per minute. Starting from empty, after how many minutes will the tank hold 120 litres?

Answer: 24

The net rate is 8 − 3 = 5 litres per minute, so 120/5 = 24 minutes.

Common wrong answers

If you answered 11
11 divides 120 by 11, the sum of the rates.
If you answered 15
15 ignores the leak.
If you answered 40
40 uses the leak's rate alone.

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