SOLUTION: a cyclist travels 50 miles at an average rate, r, then travels 5 miles per hour faster during the return trip. write an expression that describes the total time of the trip.

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Question 993133: a cyclist travels 50 miles at an average rate, r, then travels 5 miles per hour faster during the return trip. write an expression that describes the total time of the trip.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a cyclist travels 50 miles at an average rate, r, then travels 5 miles per hour faster during the return trip. write an expression that describes the total time of the trip.
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Avg speed of a round trip = 2*r1*r2/(r1 + r2) where r1 & r2 are the 2 speeds.
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Avg speed of this RT is 2r*(r+5)/(2r+5)
t = d/r
t+=+100%2F%282r%2A%28r%2B5%29%2F%282r%2B5%29%29+=+50%2A%282r%2B5%29%2F%28r%5E2+%2B+5r%29