Randy made a business trip of 204 miles. he averaged 52 mph for the first part of the trip and 50 mph for the second part. if the trip took 4 hours, how long did he travel at each rate?

Question

Mathematics

Esmeralda Webster

9 February, 12:55

Randy made a business trip of 204 miles. he averaged 52 mph for the first part of the trip and 50 mph for the second part. if the trip took 4 hours, how long did he travel at each rate?

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Answers (1)

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Lorelei Stein · Answer 1

x+y = 4

x=4-y

52x+50y=204

52 (4-y) + 50y=204

208-52y+50y=204

208-2y=204

-2y=-4

y=2

x = 4-2=2

check 52*2=104

50*2 = 100

104+100=204

so he traveled 2 hours at both 50 and 52 mph