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?
- Option A: 3 hours
- Option B: 8 hours
- Option C: 4 hoursCorrect
- 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.