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

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) (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
:
********************************************
40 minutes later the car overtakes the truck
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