SOLUTION: A consultant traveled 10 hours to attend a meeting. The return trip took only 9 hours because the speed was 7 moles per hour faster. What was the consultant's speed each way?

Question 81850: A consultant traveled 10 hours to attend a meeting. The return trip took only 9 hours because the speed was 7 moles per hour faster. What was the consultant's speed each way?
Now, correct me if I am wrong, but wouldn't I also need a distance traveled in order to find the speed each way?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Knowing the distance is not necessary to solve this problem.
Use the distance formula for each way.
and
Where r is the rate (speed) and t is the time of travel.
You know that the distance, d, is the same in both cases.
You also know that
You know that and
Making the appropriate substitutions, you'll get:

Set these two equations equal to each other and solve for
Simplify.
Subtract from both sides.
mph

mph
Check:
miles. This is the distance one-way.
miles.

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