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Boats & Streams, Pipes & Cisterns · Question 80 of 85

At what rate does the leak lose water?

Question 80

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.

At what rate does the leak lose water?

Options for question 80

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. With the leak, the tank gains 1,8004=450\frac{1{,}800}{4} = 450 litres an hour.

  2. The leak takes 600−450=150600 - 450 = 150 litres an hour.

Worth noting

450 litres an hour is what is left after the leak, not the leak itself.

Concept
The rate of a leak
Typical time
120 s
Your time
—
The rule this testsOutlets and leaks
Practise this chapter →

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.