SOLUTION: A truck enters a highway driving 60 mph. A car enters the highway at the same place 5 minutes later and drives 68 mph in the same direction. From the time the car enters the​ hi

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Question 1165385: A truck enters a highway driving 60 mph. A car enters the highway at the same place 5 minutes later and drives 68 mph in the same direction. From the time the car enters the​ highway, how long will it take the car to pass the​ truck?
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
60 mph is 1 mile/min
68 mph is 1.133 mile/min
Therefore, the truck is 5 miles ahead of the car when the car enters the highway.
The car catches up at 0.133 or 8/60 or 2/15 miles per minute.
It will take 5/(2/15) or 37.5 minutes
The truck will have gone 42.5 miles and so will have the car
(42.5 miles/37.5 min)*60 min/hr=68 mph, to check.

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


60 mph is a mile a minute, so in 5 minutes the truck travels 5 miles.

The car catches up to the truck at a rate of 68-60=8 mph.

The time it takes the car to make up 5 miles at the rate of 8 mph is 5/8 of an hour, which is 37.5 minutes.

ANSWER: 37.5 minutes.