algebra

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It takes Maggie 20 min to drive to work in the morning. She drives home using the same route, but it takes 13 min longer, and she averages 8 mi/h less than in the morning. How far does Maggie drive to work?

  • algebra -

    Important information: the distance is the same each way
    rate in the morning --- x mph
    rate going home ----- x - 8 mph

    D = R x T
    in the morning : D = (20/60)x
    going home : D = (33/60)(x-8)

    (20/60)x = (33/60)(x-8) , multiply both sides by 60
    20x = 33x - 264
    13x = 264
    x = 264/13 mph

    so her distance = D = (20/60)(264/13) = 88/13 miles
    or appr 6.77 miles

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