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Math Help - water level

  1. #1
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    water level

    Your municipality withdraws 10,000 gallons per day from an aquifer that originally held 1,000,000 gallons. The recharge rate to the aquifer is 2,000 gallons per day. How long will it take before the aquifer is depleted?
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  2. #2
    Senior Member topher0805's Avatar
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    You have to make an equation that relates the amount of water (w) in the aquafier to time (t).

    Start with the original amount:

    w(t) = 1000000

    Now, we know that every day ten thousand gallons are taken out so we have:

    w(t) = 1000000 - 10000t

    And we also know that every day two thousand gallons are added so we have:

    w(t) = 1000000 - 10000t + 2000t

    w(t) = 1000000 - 8000t

    To find when the water runs out, set the equation equal to 0 and solve for t:

    1000000 - 8000t = 0

    <br />
8000t = 1000000

    t = 125

    So, the water will run out after 125 days.
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  3. #3
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    wow couldnt have explained it any better..thanx so much!!
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