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## a 360 mile trip began on a greeway in a car traveling at 62 mph. Once the road became a 2 lane highway, the car slowed to 54 mph. If the tot

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a 360 mile trip began on a greeway in a car traveling at 62 mph. Once the road became a 2 lane highway, the car slowed to 54 mph. If the total trip took 6 hours, find the time spent on each type of road

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Physics
1 year
2021-09-02T21:17:13+00:00
2021-09-02T21:17:13+00:00 1 Answers
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## Answers ( )

Answer:Time spent on the greenway road = 4.5 hoursTime spent on the 2 lane road = 1.5 hoursExplanation:The distance of the trip is

360 milesand the initial speed of the car is62 miles/hrand after the road became 2 lane highway the car slowed to54 miles/hr.Let us divide the trip into two

Greenwayspeed = distance/time

speed = 62 mph

time = a

distance = speed × time

distance = 62a

2 lane highwayspeed = distance/time

speed = 54 mph

time = b

distance = speed × time

distance = 54b

Total distance62a + 54b = 360………………….(i)

Total timea + b = 6…………………………(ii)

a = 6-b

insert a in equation (i)

62(6-b) + 54b = 360

372 – 62b + 54b = 360

-8b = 360-372

-8b = – 12

b = 12/8

b = 1.5

from equation (ii)

a + 1.5 = 6

a = 6 – 1.5

a = 4.5