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Math Help - Time to Run

  1. #1
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    Time to Run

    In a week mike ran 8km farther than bill,while pete ran 1km less than 3 timesas far as bill. If pete ran 15km farther than mike, how many kilometers did bill run?

    MY WORK:

    Mike = x + 8km

    Bill = x

    Pete = 3x - 1km

    I got confused with the red words above.




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  2. #2
    Senior Member
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    Hi there

    Quote Originally Posted by magentarita View Post
    In a week mike ran 8km farther than bill,while pete ran 1km less than 3 timesas far as bill. If pete ran 15km farther than mike, how many kilometers did bill run?

    MY WORK:

    Mike = x + 8km

    Bill = x

    Pete = 3x - 1km

    I got confused with the red words above.

    These equations are okay,
    the last equation is pete = mike + 15 (it means: pete ran 15km farther than mike; and you know already Mike = x + 8km)

    I got the solution: bill ran 12 km (mike 20 and pete 35)

    Regards, Rapha
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  3. #3
    MHF Contributor
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    great........

    Quote Originally Posted by deleted poster
    In a week Mike ran 8 km farther than Bill, while Pete ran 1 km less than 3 times as far as Bill.
    If Pete ran 15 km farther than Mike, how many kilometers did Bill run?
    Let m be how far Mike ran in km.
    Let b be how far Bill ran in km.
    Let p be how far Pete ran in km.
    The given information is (1), (2), and (3).
    (1) m = 8+b
    (2) p = 3b – 1
    (3) p = 15+m Use (1) to replace m in (3)
    (4) p = 15+8+b Use (2) to replace p in (4)
    (5) 3b – 1 = 15+8+b Subtract b from both sides. Add 1 to both sides.
    (6) 2b = 24 Divide both sides by 2
    (7) b = 12
    Bill ran 12 km.
    Wonderfully done!
    Last edited by mr fantastic; January 2nd 2009 at 04:43 AM. Reason: The username of the quoted poster was a URL to a commercial website and so has been deleted.
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