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Math Help - Fractional Equation? Confused...need some assurance

  1. #1
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    Fractional Equation? Confused...need some assurance

    Pipes A and B can fill a storage tank in 8 hours and 12 hours, respectively. With the tank empty, pipe A was turned on at noon, and then pipe B was turned on at 1:30pm. At what time was the tank full?

    How do I solve this??

    x= ???
    I got x/8 = amount of the tank filled using A
    x/12 = amount of tank filled using B

    maybe 1.5x/8 + x/12 = 1 ?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Dunit0001 View Post
    Pipes A and B can fill a storage tank in 8 hours and 12 hours, respectively. With the tank empty, pipe A was turned on at noon, and then pipe B was turned on at 1:30pm. At what time was the tank full?

    How do I solve this??

    x= ???
    I got x/8 = amount of the tank filled using A
    x/12 = amount of tank filled using B

    maybe 1.5x/8 + x/12 = 1 ?
    Pipe A fill the tank at a rate of 1/8 of a tank per hour

    Pipe B fills the tank at a rate of 1/12 of a tank per hour.

    At 1:30 pipe A has been running for 1.5 hours and so the tank is (1.5)/8
    full.

    Now suppose it takes a further x hours to fill the tank, then we have an
    additional x/8 of a tank added from A and x/12 of a tank from B. Hence as
    the tank is now full we have:

    (1.5)/8 + x/8 + x/12 = 1

    Now solve this for x to find how many hours after 1:30 the tank is full, and
    so the time at which it is full.

    RonL
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