SOLUTION: A truck enters a highway driving 60 mph. A car enters the highway at the same place 9 minutes later and drives 66 mph in the same direction. From the time the car enters the hig
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Question 1146609: A truck enters a highway driving 60 mph. A car enters the highway at the same place 9 minutes later and drives 66 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 josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time for the car to pass the truck
miles = the truck's head start in miles
= distance in miles the car travels until it passes truck
--------------------------------------------------------------------
Start a stop watch when the car leaves
equation for the car:
(1)
equation for the truck:
(2)
---------------------------
Plug (1) into (2)
(2)
(2)
(2)
The car takes 1.5 hrs to pass truck
------------------------------------------
check:
(1)
(1) mi
and
(2)
(2)
(2) mi
OK
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
60 miles per hour is 1 mile per minute.
In the 9 minutes between the times the truck and car enter the highway, the truck, at 60 mph, travels 9 miles.
The rate at which the car overtakes the truck is 66-60 = 6mph.
The time required to make up 9 miles at 6mph is 9/6 = 1.5 hours.
ANSWER: 1.5 hours
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