SOLUTION: A truck enters a highway driving 60mph. A car enters the highway at the same place 7 minutes later and drives 70 mph in the same direction. From the time the car enters the highway

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A truck enters a highway driving 60mph. A car enters the highway at the same place 7 minutes later and drives 70 mph in the same direction. From the time the car enters the highway      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 715988: A truck enters a highway driving 60mph. A car enters the highway at the same place 7 minutes later and drives 70 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) About Me  (Show Source):
You can put this solution on YOUR website!
A truck enters a highway driving 60mph.
A car enters the highway at the same place 7 minutes later and drives 70 mph in the same direction.
From the time the car enters the highway, how long will it take the car to pass the truck?
:
Let c = travel time of the car when it passed the truck (in hrs)
then
(c + 7%2F60) = travel time of the truck (in hrs)
:
When the car catches the truck, they will have traveled the same distance.
Write a distance equation; dist = speed * time
70t = 60(t+7%2F60)
70t = 60t + 7, (the 60 cancels)
70t - 60t = 7
10t = 7
t = 7/10
t = .7 hrs
which is:
.7(60) = 42 minutes for the car to catch the truck