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Boats & Streams, Pipes & Cisterns · Question 65 of 85

A and B are opened on the empty tank, and after 4 hours C is opened too.

Question 65

HardOriginal question

A tank has two inlet pipes, A, which fills it in 12 hours, and B, which fills it in 18 hours, and an outlet C, which empties the full tank in 9 hours.

A and B are opened on the empty tank, and after 4 hours C is opened too. How long after C is opened is the tank full?

Options for question 65

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. In 4 hours A and B fill 4×536=594 \times \frac{5}{36} = \frac{5}{9}, leaving 49\frac{4}{9}.

  2. With all three open the net rate is 136\frac{1}{36}, so 49×36=16\frac{4}{9} \times 36 = 16 hours.

Worth noting

20 hours is the whole time from the start.

Concept
An outlet opened later
Typical time
150 s
Your time
—
The rule this testsPipes filling a tank
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.