Gemma recently rode her bicycle to visit her friend who lives 6 miles away. On her way there, her average speed was 16 miles per hour faster

Gemma recently rode her bicycle to visit her friend who lives 6 miles away. On her way there, her average speed was 16 miles per hour faster than on her way home. If Gemma spent a total of 1 hour bicycle, find the two rates.

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  1. first speed — x mph

    return speed — x+16 mph

    6/x + 6/(x+16) = 1

    times each term by x(x+16)

    6(x+16) + 6x = x(x+16)

    x^2 + 4x – 96 = 0

    (x-8)(x+12) = 0

    x = 8 or x is a negative

    her first speed was 8 mph

    her return speed was 24 mph

    check:

    6/8 + 6/24 = 1 , that’s good!

    Reply

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