SOLUTION: hello. i'm kind of stuck on this work word problem and I was wondering if you could help me out. It says... The fill pipe can fill a tank in 3 hours and the drain pipe can d

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: hello. i'm kind of stuck on this work word problem and I was wondering if you could help me out. It says... The fill pipe can fill a tank in 3 hours and the drain pipe can d      Log On

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Question 58486: hello. i'm kind of stuck on this work word problem and I was wondering if you could help me out. It says...


The fill pipe can fill a tank in 3 hours and the drain pipe can drain the tank in 1 hour. If both pipes are accidently opened, how long will it take to empty a tank filled with water?


a keep getting a negative answer, if you could explain this it would be helpful. Thanks!

Found 2 solutions by 123454321, ptaylor:
Answer by 123454321(2) About Me  (Show Source):
You can put this solution on YOUR website!
the tank is impossible to fill becuase the drain pipe is faster than the fill
pipe

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
hello. i'm kind of stuck on this work word problem and I was wondering if you could help me out. It says...
The fill pipe can fill a tank in 3 hours and the drain pipe can drain the tank in 1 hour. If both pipes are accidently opened, how long will it take to empty a tank filled with water?
a keep getting a negative answer, if you could explain this it would be helpful. Thanks!

rate at which the fill pipe fills =1/3 cu units per hour
rate at which the drain pipe drains =1 cu unit per hour (or all of it in 1 hour)
Rate at which the tank is emptied when both pipes are open equals the difference between the rate at which it empties and the rate at which it fills
1-1/3=2/3 cu units per hour. So:
Rate at which the tank is emptied when both pipes are open =2/3 cu units per hour or 1 divided by 2/3 = 3/2 hour=1.5 hours
Hope this helps---ptaylor