SOLUTION: Five hundred gallons of water leaked from a reservoirat a constant rate of 8 gallons per day. The leak was partially sealed, and a aditional 300 gallons leaked from the reservoir a

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Question 162812: Five hundred gallons of water leaked from a reservoirat a constant rate of 8 gallons per day. The leak was partially sealed, and a aditional 300 gallons leaked from the reservoir at a constant speed of 5 gallons per day. What was the overall rate of leakage over this time period?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

We calculate 1st the number of days the reservoir was leaking.
1st leak:
%288gal%2Fday%29%28X%5Bdays%5D%29=500gal
X%5Bdays%5D=500cross%28gal%29%2F%288cross%28gal%29%2Fday%29
X%5Bdays%5D=62.5days
2nd leak:
%285gal%2Fday%29%28X%5Bdays%5D%29=300gal
X%5Bdays%5D=300cross%28gal%29%2F%285cross%28gal%29%2Fday%29
X%5Bdays%5D=60days
Therefore,
Rate=TotalVolume%2FTotalDays
Rate=%28500%2B300%28gal%29%29%2F%2862.5%2B60%28days%29%29
Rate=800%28gal%29%2F122.5%28days%29
highlight%28Rate=6.530612244%28gal%2Fday%29%29
thank you,
Jojo