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Math Help - Train Problem

  1. #1
    MHF Contributor
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    Train Problem

    An express train and a local train both leave Lake City at 12:00 noon and head for Chicago 60 miles away. The express train travel twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train.

    MY SET UP:

    Express Train:

    rate = 2x + 2

    distance = 60 miles

    time = 12

    Local Train:

    rate = x

    distance = 60 miles

    time = 12

    My equation:

    12(2x + 2) + 12x = 60

    Is this the right equation? If not, what did I do wrong?
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  2. #2
    Junior Member lanzailan's Avatar
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    Hi there..
    i've got my own solution but i'm not so sure if this correct..

    if Local train will be arrived in x hour then Express train will be arrived in x-2 hour (2 hours ahead).

    let speed of Local train be L=60/x---------------1
    let speed of Express train be 2L=60/(x-2)--------2

    substitutes 1 into 2 and i got x=4
    speed of local train will be 15miles/h and express train will be 30miles/h
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  3. #3
    MHF Contributor
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    great...

    Quote Originally Posted by lanzailan View Post
    Hi there..
    i've got my own solution but i'm not so sure if this correct..

    if Local train will be arrived in x hour then Express train will be arrived in x-2 hour (2 hours ahead).

    let speed of Local train be L=60/x---------------1
    let speed of Express train be 2L=60/(x-2)--------2

    substitutes 1 into 2 and i got x=4
    speed of local train will be 15miles/h and express train will be 30miles/h
    You did well and found the answers. Thank you.
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