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    Emmby's Avatar
    Emmby Posts: 1, Reputation: 1
    New Member
     
    #1

    Jan 26, 2011, 01:02 AM
    Quadratic world problem with time and speed.
    I have a question here I've been trying to solve to no avail for about a week:

    If terry hiked 0.5km/h faster, he would take 1 hour less to complete a 15 hour hike. What was his hiking speed?

    ---

    I'm under the impression I use the formula T=D/S, but that's where my problem comes in, I have no idea what the distance is, so the farthest I get is this:

    15-1=14 (faster speed time)

    14 = *blank*/x+0.5
    15 = *blank*/x

    ---

    I'm not looking for the end answer, I would just like a little help with how I'm supposed to set up my equations to solve it.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Jan 26, 2011, 03:09 AM


    The distance is .

    The trip normally takes 15 hours hiking at rate 'r'.

    But, it only takes 14 hours hiking at rate 'r+1/2'.

    The distance is still the same.

    So, we have



    Solve for r.

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