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

Algebra ->  Customizable Word Problem Solvers  -> Finance -> 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      Log On

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Question 939416: 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 by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add the rate of filling and subtract the
rate of emptying
-------------------
+315%2F9+-+6%2F1+=+315%2Ft+
Multiply both sides by +9t+
+315t+-+54t+=+2835+
+261t+=+2835+
+t+=+10.862+ hr
+.862%2A60+=+51.72+
+.72%2A60+=+43+
-------------------
It will take 10 hrs 51 min 43 sec to refill
the emptied tank.
( they don't repair the leak, I guess )
check:
+315%2F9+-+6%2F1+=+315%2Ft+
+315%2F9+-+6%2F1+=+315%2F10.862+
+35+-+6+=+29.0002+
+29+=+29.0002+
close enough