5. Taps A and B can fill an empty tank in 3 hoursand 5 hours, respecti

1.	5. Taps A and B can fill an empty tank in 3 hoursand 5 hours, respectively. Tap C can empty thefull tank in 7 hours. If all three taps are openat the same time, in how many hours will thetank be full?
Answer» Step-by-step explanation: A's 1 hr work = 1/3 B's 1 hr work = 1/5 C's 1 hr Work = -2/15 (A+B+C)'s 1 hr work = (1/3) + (1/5) + (-2/15) = 2/5 So If all the pipes are opened at the same time they will take 5/2 hours to fill the tank.

5. Taps A and B can fill an empty tank in 3 hoursand 5 hours, respectively. Tap C can empty thefull tank in 7 hours. If all three taps are openat the same time, in how many hours will thetank be full?

Answer»

Step-by-step explanation:

A's 1 hr work = 1/3

B's 1 hr work = 1/5

C's 1 hr Work = -2/15

(A+B+C)'s 1 hr work = (1/3) + (1/5) + (-2/15)

= 2/5

So If all the pipes are opened at the same time they will take 5/2 hours to fill the tank.