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UPCAT Mathematics practice question 21: Pipe A can fill a tank in 6 hours and pipe B can fill the same tank in 12 hours. Working together, how long will they take to fill it?

Correct answer

C. 4 hours

Their combined rate is 1/6 + 1/12 = 3/12 = 1/4 of the tank per hour, so the job takes 4 hours.

The question

Pipe A can fill a tank in 6 hours and pipe B can fill the same tank in 12 hours. Working together, how long will they take to fill it?

  1. Option A: 3 hours
  2. Option B: 8 hours
  3. Option C: 4 hoursCorrect
  4. Option D: 9 hours

Why C is correct

Their combined rate is 1/6 + 1/12 = 3/12 = 1/4 of the tank per hour, so the job takes 4 hours.

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