## 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

Question

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

in progress 0
1 year 2021-09-02T21:17:13+00:00 1 Answers 0 views 0

Time spent on the greenway road  = 4.5 hours

Time spent on the 2 lane road = 1.5 hours

Explanation:

The distance of the trip  is 360 miles and the initial speed of the car is 62 miles/hr and after the road became 2 lane highway the car slowed to 54 miles/hr.

Let us divide the trip into two

Greenway

speed = distance/time

speed = 62 mph

time = a

distance = speed × time

distance = 62a

2 lane highway

speed = distance/time

speed = 54 mph

time = b

distance = speed × time

distance = 54b

Total distance

62a + 54b = 360………………….(i)

Total time

a + 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