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    Average Velocity : Different Speeds over Two Distances

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    Assume that the distance from New York to Miami is d and that half the distance is traveled at 45mph and half the distance is traveled at 55mph.

    If the average velocity is given by

    I'm drawing a complete disconnect between the line above and this:


    I'm canceling the d from num and the denom to get
    d/T=1/[0.5/45 + 0.5/55]
    d/T=[45/0.5 + 55/0.5]=100/.5=200 (which I know is not the answer!).

    What am I doing wrong?

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    Solution Summary

    Average velocity is found with different speeds over two distances. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.