SOLUTION: A truck enters a highway driving 60 mph. A car enters the highway at the same place 10 minutes later and drives 75 mph in the same direction. From the time the car enters the&#8203

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Question 1079435: A truck enters a highway driving 60 mph. A car enters the highway at the same place 10 minutes later and drives 75 mph in the same direction. From the time the car enters the​ highway, how long will it take the car to pass the​ truck?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let t be the time when the distance covered by the truck is equal to the distance covered by the car
:
10 minutes = 10/60 = (1/6) of an hour
:
the truck's rate is 60 mph, so the truck has (1/6) * 60 = 10 mile head start when the car enters the highway
:
60t + 10 = 75t
:
15t = 10
:
t = 10/15 = 2/3 of an hour
:
(2/3) * 60 minutes = 40 minutes
:
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40 minutes later the car overtakes the truck
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