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Boats & Streams, Pipes & Cisterns · Question 73 of 85

Question 73

MediumOriginal question

A full tank has an outlet that empties it in 20 hours and an inlet that fills it in 30 hours. Both are opened. How long does the full tank take to empty?

Options for question 73

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The outlet is faster, so the level falls: net emptying rate =120−130=160= \frac{1}{20} - \frac{1}{30} = \frac{1}{60} of the tank an hour.

  2. The full tank empties in 60 hours.

Worth noting

12 hours adds the two rates; the inlet slows the emptying down.

Concept
Emptying a tank against an inlet
Typical time
90 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.