SOLUTION: A faucet filled a 315 gallon tank in 9 hours. Later, the tank suffered a crack at the bottom and started leaking at the rate of 6 gallons per hour. How long will it take the faucet

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Question 939633: A faucet filled a 315 gallon tank in 9 hours. Later, the tank suffered a crack at the bottom and started leaking at the rate of 6 gallons per hour. How long will it take the faucet to refill the emptied tank? ( answer is 11 hours and 29 minutes - show your solution )
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A faucet filled a 315 gallon tank in 9 hours.
Later, the tank suffered a crack at the bottom and started leaking at the rate of 6 gallons per hour.
How long will it take the faucet to refill the emptied tank?
:
Find the gal/hr rate with no leak
315/9 = 35 gal/hr
let t = no. of hrs to fill the tank when there is a leak
35t - 6t = 315
29t = 315
g = 315/29
t = 10.862 hrs