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Math Help - Algerbra Story Problem

  1. #1
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    Algerbra Story Problem

    This is the problem I need help with!

    Elizabeth visits her friend Andrew and then returns home by the same route. She always walks 2km/h when going uphill, 6km/h when going downhill and 3km/h when on level ground. If her total walking time is 6 hours, then what is the total distance she walks in km?

    Thanks so much for the help guys!
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  2. #2
    MHF Contributor
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    On way to Andrew's place: uphill = a, level = b, downhill = c
    Coming back: uphill = c, level = b, downhill = a

    (a/2 + b/3 + c/6) + (c/2 + b/3 + a/6) = 6
    Multiply by 6:
    3a + a + 2b + 2b + c + 3c = 36
    4(a + b + c) = 36
    a + b + c = 9 = one-way distance
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