Pipes and Cistern - Quantitative Aptitude (MCQ) questions for Q. 131

Q.  Pipes A and B fill a tank in 5 and 6 hours respectively. Pipe C empties the tank in 12 hours, if you open all the three pipes together this tank will be filled in?
- Published on 15 Jun 15

a. 3 9/17 hours
b. 4.5 hours
c. 1.25 hours
d. 4 7/17 hours

ANSWER: 3 9/17 hours
 
It is given that Pipe A,B and C work simultaneously.

Pipe A and B are filling the tank and Pipe C is emptying it.

In 1 hour volume of tank filled by Pipe A: 1/5th

In 1 hour volume of tank filled by Pipe B: 1/6th

In 1 hour volume of tank emptied by Pipe C: 1/12th

Working together Pipe A B and C fill x volume of tank.

=>1/x = (1/5)+(1/6)-(1/12)

=>x=60/17 hours

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