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Boats & Streams, Pipes & Cisterns · Question 68 of 85

Question 68

EasyOriginal question

A pipe fills a tank in 5 hours, and an outlet empties the full tank in 10 hours. If both are open, how long does the empty tank take to fill?

Options for question 68

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Net rate =15−110=110= \frac{1}{5} - \frac{1}{10} = \frac{1}{10} of the tank an hour.

  2. So the tank fills in 10 hours.

Worth noting

103\frac{10}{3} hours adds the outlet's rate as if it filled too.

Concept
A filling pipe against an outlet
Typical time
60 s
Your time
—
The rule this testsOutlets and leaks
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Ten questions from Boats & Streams, Pipes & Cisterns, at your own pace.

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