Pipe A can fill a tank in 10 hours, and Pipe B can fill it in 15 hours. Pipe C can empty the tank in 12 hours. If all three are opened together, how long will it take to fill the tank?

Question

PYQPulse · Accepted Answer

12 hours

PYQPulse · Answer

Explanation: Given: Rates: A = +1/10, B = +1/15, C = -1/12. Solution: 1 1 1 Net Rate = + − ​ 10 15 12 ​ ​ ​ 6+4−5 5 1 Net Rate = = = ​ 60 60 12 ​ ​ ​ Time = 12 hours. Final Answer So the correct answer is (a)

Pipe A can fill a tank in 10 hours, and Pipe B can fill it in 15 hours. Pipe C can empty the tank in 12 hours. If all three are opened together, how long will it take to fill the tank?

Answer: A. 12 hours

Explanation