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Average Velocity : Different Speeds over Two Distances

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?

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.