SOLUTION: A consultant traveled 4 hours to attend a meeting. The return trip took only 3 hours because the speed was 7 miles per hour faster. What was the consultant's speed each way?

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Question 71972: A consultant traveled 4 hours to attend a meeting. The return trip took only 3 hours because the speed was 7 miles per hour faster. What was the consultant's speed each way?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Yuo can use the distance formula: d = rt where: d = distance, r = rate (speed), and t = time of trip. In this problem, the distance out is equal to the distance back, so d%5B1%5D+=+d%5B2%5D
For the outbound trip, t = 4 hrs, and speed = r%5B1%5D so:
d%5B1%5D+=+r%5B1%5D%284%29
For the return trip, t = 3 hrs, and speed = r%5B1%5D+%2B+7 so:
d%5B2%5D+=+%28r%5B1%5D%2B7%29%283%29 but d%5B1%5D+=+d%5B2%5D, so:
r%5B1%5D%284%29+=+%28r%5B1%5D%2B7%29%283%29 Simplify and solve for r%5B1%5D
4r%5B1%5D+=+3r%5B1%5D%2B21 Subtract 3r%5B1%5D from both sides.
r%5B1%5D+=+21mph This is the outbound speed.
r%5B2%5D+=+r%5B1%5D%2B7
r%5B2%5D+=+21%2B7
r%5B2%5D+=+28mph This is the return speed.