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Math Help - word problem

  1. #1
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    word problem

    Sept, 2 2008. there is a well, that can holp up to a maximum of 29.7 gallons of water. The caretaker of the well fills the well up double its previous amount.The well should be full by the 30th day because the caretaker uses a little hose.



    When will the well have 56.21 liters of water???



    It is a logic. Help m guys
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  2. #2
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    1) 29.7 gal = 112.427 L

    2) Just walking through it...

    30th -- 112.427 L
    29th -- 56.2135 L

    Hmpf! That was too easy. I'll let you worry about the significant figures.
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  3. #3
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    Hello, ranthrave!

    The wording is quite careless . . .


    Sept, 2 2008. There is a well, that can hold up to a maximum of 29.7 gallons of water.
    Each day the caretaker fills the well to double its previous amount.

    The well is full by the 30th day.

    When will the well have 56.21 liters of water?

    29.7\text{ gallons} \:\approx\: 112.42\text{ liters}

    On the 30th day, it is full: 112.42 liters.

    Therefore, on the 29th day (Oct. 1, 2008), it contained 56.21 liters.

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  4. #4
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    Quote Originally Posted by ranthrave View Post
    Sept, 2 2008. there is a well, that can holp up to a maximum of 29.7 gallons of water. The caretaker of the well fills the well up double its previous amount.The well should be full by the 30th day because the caretaker uses a little hose.



    When will the well have 56.21 liters of water???



    It is a logic. Help m guys
    You call it logic, I call it "common sense".

    Even before converting the 56.21 liters into gallons, I already have an inkling the answer should be on the second to the last day.

    The unit of the water in the well is in gallon, so,
    56.21 Liter = (56.21 Li)*[(1 gal) /(3.7854 Li)] = 56.21 /3.7854 = 14.85 gallons

    Okay, so on the 30th day, the well must be full to its capacity of 29.7 gallons.
    Since the caretaker doubles the previous volume ome of water in the well everyday, then the volume of the water in the well on the 29th day should be half of 29.7 gallons....which is 14.85 gallons or 56.21 liters.
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  5. #5
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    Tnx guys.
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