SOLUTION: With the stopper in place and the faucet running, a bathtub can be filled in 16 minutes. With the faucet off and the stopper removed, the tub will empty in 20 minutes. If the fauce

Algebra ->  Rate-of-work-word-problems -> SOLUTION: With the stopper in place and the faucet running, a bathtub can be filled in 16 minutes. With the faucet off and the stopper removed, the tub will empty in 20 minutes. If the fauce      Log On


   



Question 716780: With the stopper in place and the faucet running, a bathtub can be filled in 16 minutes. With the faucet off and the stopper removed, the tub will empty in 20 minutes. If the faucet is running and the stopper is not in place, how long will it take to fill the tub?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
With the stopper in place and the faucet running, a bathtub can be filled in 16 minutes. With the faucet off and the stopper removed, the tub will empty in 20 minutes. If the faucet is running and the stopper is not in place, how long will it take to fill the tub?
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let x=time it will take to fill the tub.
1/16=fill rate
1/20=drain rate
rate*time=amount of water flowing
...
x/16-x/20=100%
(20x-16x)/320=1
4x/320=1
4x=320
x=80
time it will take to fill the tub=80 minutes