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Time & Work · Question 58 of 61

Question 58

MediumOriginal question

A tank is half full. Pipe X can fill the whole tank in 16 minutes and pipe Y can empty the whole tank in 24 minutes. If both are opened now, in how many minutes will the tank be full?

Options for question 58

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Net fill rate = 116−124=3−248=148\frac{1}{16} - \frac{1}{24} = \frac{3-2}{48} = \frac{1}{48} per minute.

  2. Only half the tank needs filling: 12×48=24\frac{1}{2} \times 48 = 24 minutes.

Worth noting

48 minutes fills an empty tank; this one is already half full. 8 minutes ignores pipe Y.

Concept
Net rate applied to a partly full tank
Typical time
70 s
Your time
—
The rule this testsPipes and cisterns
Practise this chapter →

Ten questions from Time & Work, at your own pace.

Practise this chapter →

Ten questions from Time & Work, at your own pace.