SOLUTION: Two cars travel the same distance. The first
car travels at a rate of 36 mph and reaches its
destination in t hours. The second car travels
at a rate of 53 mph and reaches its d
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-> SOLUTION: Two cars travel the same distance. The first
car travels at a rate of 36 mph and reaches its
destination in t hours. The second car travels
at a rate of 53 mph and reaches its d
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Question 889656: Two cars travel the same distance. The first
car travels at a rate of 36 mph and reaches its
destination in t hours. The second car travels
at a rate of 53 mph and reaches its destination
in 4.5 hours earlier than the first car.
How long does it take for the first car to
reach its destination?
Answer in units of hours. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two cars travel the same distance.
The first car travels at a rate of 36 mph and reaches its destination in t hours.
The second car travels at a rate of 53 mph and reaches its destination in 4.5 hours earlier than the first car.
How long does it take for the first car to reach its destination?
:
(t-4.5) = travel time of the 2nd car
:
Write a dist equation, both cars are traveling the same dist (dist = speed * time)
36t = 53(t-4.5)
36t = 53t - 238.5
238.5 = 53t - 36t
238.5 = 17t
t = 238.5/17
t = 14.03 ~ 14 hrs
:
:
Check this, find the dist each car traveled, should be the samee
14.03 - 4.5 = 9.53 hrs the travel time of the 2nd car
53 * 9.53 = 505.1 mi
1st car dist
36 * 14.03 = 505.1 mi
