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Thread: Time To Fill Pool

  1. #1
    Super Member harpazo's Avatar
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    Time To Fill Pool

    An empty pool being filled with water at a constant rate takes 8 hours to fill to 3/5 of its capacity. How much more time will it take to finish filing the pool?

    My Work:

    Let t = time (in hours)

    1 - 3/5 = 2/5

    8/t = (3/5)/(2/5)

    Solving for t, I got 5.3333333333, which of course I rounded to two decimal places for a final answer of 5 hours and 30 minutes.

    The book's answer is 5 hours and 20 minutes.

    Why am I wrong? Is my proportion set up incorrect?
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  2. #2
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    Re: Time To Fill Pool

    Quote Originally Posted by harpazo View Post
    Solving for t, I got 5.3333333333, which of course I rounded
    to two decimal places for a final answer of 5 hours and 30 minutes.

    The book's answer is 5 hours and 20 minutes.

    Why am I wrong? Is my proportion set up incorrect?
    5.333333333 = 5 1/3 = 5 hr 20 min

    So you're correct, and get a pink star for your forehead!
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  3. #3
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    Re: Time To Fill Pool

    But harpazo didn't get "5 hr 20 min". That is what he said was the "book answer". He got 5 hours and 30 min. Harapazo, there are 60 min in an hour, not 90!
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  4. #4
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    Re: Time To Fill Pool

    Whoopsee do....gimmee back that pink star!!
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    Re: Time To Fill Pool

    Pink Star? Pattrick? Ditto?
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    Re: Time To Fill Pool

    Mr.Fly, you sound ready for the Suck o Harjo Asylum!
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  7. #7
    Super Member harpazo's Avatar
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    Re: Time To Fill Pool

    Quote Originally Posted by HallsofIvy View Post
    But harpazo didn't get "5 hr 20 min". That is what he said was the "book answer". He got 5 hours and 30 min. Harapazo, there are 60 min in an hour, not 90!
    Yes, I know there are 60 minutes in one hour. I have no idea where my head was on the day I tackled this problem. The only excuse I have is mental/physical tiredness. You see, I work 40 overnight hours. When I get home from work, it is the only time (in addition to my 2 days off) to practice and review mathematics. It is really hard to concentrate on anything much less math word problems after giving up my sleep time to make money. I look like a zombie after working 12am to 8am Thursday through Monday. This is my only excuse.
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