A truck enters the highway driving 60 mph a car enters the highway at the...

peanut

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...same place 13 minutes later? and drives 67 mph in the same direction. From the time the car enters the highway how long will it take to pass the truck?
 
13 min is 13/60 of an hour so 60 * (13/60) = 13 miles .. this is the distance the truck travels in 13 minutes.

Let t be the time it takes the car to overtake the truck. The truck will then have traveled an extra 60t miles.

The car will travel 67t miles and must cover the original 13 miles plus 60t additional miles the truck has covered.

67t = 60t + 13

7t = 13

t = 7/13 hours
 
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