SOLUTION: Someone drove to the city at a rate of 50 km/h. He returned along the same route at a faster speed, making his average rate for the round trip 60 km/h. What was his returning spee

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Question 306365: Someone drove to the city at a rate of 50 km/h. He returned along the same route at a faster speed, making his average rate for the round trip 60 km/h.
What was his returning speed?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Ave speed = (total distance)/(total time)
Let d = distance to city
Let s = his returning speed
given:
d%2F50 = time to get to city
%28d+%2B+d%29%2F%28d%2F50+%2B+d%2Fs%29+=+60
2d+=+60%2A%28d%2F50+%2B+d%2Fs%29
2d+=+60d%281%2F50+%2B+1%2Fs%29
1%2F30+=+1%2F50+%2B+1%2Fs
Multiply both sides by 150s
5s+=+3s+%2B+150
2s+=+150
s+=+75
His return speed was 75 mi/hr