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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
d/T=d/[0.5d/45+0.5d/55]

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

=99/2=49.5(mph)

I'm canceling the d from num and the denom to get
d/T=1/[0.5/45 + 0.5/55]
then
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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https://brainmass.com/math/basic-calculus/average-velocity-different-speeds-over-two-distances-44719

#### 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.

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