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Sue was in excellent shape in high school, she could ride her 10-speed bicycle 4.8miles to her grandmother's house in 11 minutes. Her return trip home took 14 minutes. The times are different due to there being a slight downhill slop on part of the trip to her grandmothers. If sue was able to ride her bike on a perfectly flat surgace with no hills, how fast can she travle in miles/hour?

  • math -

    her speed on flat ground --- x mph
    effect of hill -------------- y mph

    (11/60)((x+y) = 4.8
    11x + 11y = 288

    (14/60)(x-y) = 4.8
    14x - 14y = 288

    1st time 14 ---> 164x + 154y = 4032
    2nd times 11 --> 154x - 154y = 3168
    add them
    318x = 7200
    x = 22.64

    sub into 11x + 11y = 288 to get
    y = 3.54

    check my arithmetic

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