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

Question 85

HardOriginal question

A leak empties a full tank in 6 hours. When a tap letting in 4 litres a minute is also opened, the full tank empties in 8 hours. What is the capacity of the tank?

Options for question 85

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 4 litres a minute is 240 litres an hour. With capacity CC: C6−240=C8\frac{C}{6} - 240 = \frac{C}{8}.

  2. C24=240\frac{C}{24} = 240, so C=5,760C = 5{,}760 litres.

Worth noting

96 litres keeps the tap's rate in litres a minute while the times are in hours.

Concept
A capacity from rates in litres
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.