SOLUTION: a truck enters the highway driving 60 mph. a car enters the highway at the same place 12 minutes later and drives 67 mph in the same direction. from the time the car enters the hig

Question 495748: a truck enters the highway driving 60 mph. a car enters the highway at the same place 12 minutes later and drives 67 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 ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a truck enters the highway driving 60 mph.
a car enters the highway at the same place 12 minutes later and drives 67 mph in the same direction.
from the time the car enters the highway, how long will it take the car to pass the truck?
:
Change 12 min to 12/60 = .2 hrs
:
Let t = the travel time of the car to overtake the truck
then
(t+.2) = travel time of the truck when it is passed
:
Both will travel the same distance, write a dist equation; dist = speed * time
:
Car dist = Truck dist
67t = 60(t+.2)
67t = 60t + 12
67t - 60t = 12
7t = 12
t =
t = 1.7143 hrs for the car to overtake the truck
or
1 + .7143(60) ~ 1 hr 43 min
;
:
Check the solution by ensuring that they traveled the same distance
67*1.7143 = 114.86 mi
60*1.9143 = 114.86 mi
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