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Boats & Streams, Pipes & Cisterns · Question 81 of 85

How long would the leak alone take to empty the full tank?

Question 81

MediumOriginal question

A pump fills an empty 1,800-litre tank in 3 hours. A leak then develops at the bottom, and with the leak the pump takes 4 hours to fill the empty tank.

How long would the leak alone take to empty the full tank?

Options for question 81

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The leak loses 150 litres an hour.

  2. 1,800150=12\frac{1{,}800}{150} = 12 hours.

Worth noting

1 hour is the delay the leak causes, not the time it takes to empty the tank.

Concept
The time a leak takes
Typical time
120 s
Your time
—
The rule this testsOutlets and leaks
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Ten questions from Boats & Streams, Pipes & Cisterns, at your own pace.

Practise this chapter →

Ten questions from Boats & Streams, Pipes & Cisterns, at your own pace.

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