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Math Help - (Basic Algebra) Major Help on my Test that is Due Tom.!!! I hate Words Problems

  1. #1
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    (Basic Algebra) Major Help on my Test that is Due Tom.!!! I hate Words Problems

    An inlet pipe can fill a large water tank in 240
    minutes. An outlet pipe can empty the same
    water tank in 5 hours. Given an
    empty water tank, activate both pipes.
    Question: How many minutes will it be before
    the tank is completely filled?
    Round to the nearest minute.
    Can you show me work, so i know how to do it... Thank u Thank u Thank u
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  2. #2
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    Quote Originally Posted by Sweetie View Post
    An inlet pipe can fill a large water tank in 240
    minutes. An outlet pipe can empty the same
    water tank in 5 hours. Given an
    empty water tank, activate both pipes.
    Question: How many minutes will it be before
    the tank is completely filled?
    Round to the nearest minute.
    Can you show me work, so i know how to do it... Thank u Thank u Thank u
    5 hours = 300 mins.

    So each minute the inlet pipe will fill \frac{1}{240} of the tank and the outlet pipe will empty \frac{1}{300} of the tank.

    Put them together, you get every minute

    \frac{1}{240} - \frac{1}{300} of the tank will be filled.

    \frac{1}{240} - \frac{1}{300} = \frac{300}{240 \times 300} - \frac{240}{300 \times 240}

     = \frac{300 - 240}{72000} = \frac{60}{72000} = \frac{1}{1200}.

    So every minute, \frac{1}{1200} of the tank will be filled.

    So you would need 1200 minutes to fill the tank, or 20 hours.


    Of course, no-one would fill a tank this way... it's too wasteful.
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  3. #3
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    OMG... your wonderful!
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  4. #4
    Junior Member Khaali91's Avatar
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    lol yay i was right but i did it a different way... I used x as the amount of hours.

    If it takes 4 hours to fill the tank then in 1 hour the 1/4 of the tank is filled.

    If it takes 5 hours to empty the tank then in 1 hour 1/5 of the tank is empty.

    so you want to find the total number of hours it takes for a whole tank.

    x/4-x/5=1

    and solved for x
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