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Tom [10]
3 years ago
13

Mark made a business trip of 259.5 miles. He averaged 59 mph for the first part of the trip and 57 mph for the second part. If t

he trip took 4.5 hours, how long did he
travel at each rate?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer: He spends 1.5 hours on the first part of trip and 3 hours on the second part of trip

Step-by-step explanation:

Let x = the number of hours for first part

Let y = the number of hours for second part

Concept: speed × time = distance

----------------------------------------------------------------

x+y=4.5

59x+57y=259.5

-----

y=4.5-x

59x+57y=259.5

-----

59x+57(4.5-x)=259.5

59x+256.5-57x=259.5

2x+256.5=259.5

2x=3

x=1.5

4.5-1.5=3 hrs

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