SOLUTION: A truck enters a freeway traveling 40 mph. An hour later, a car enters the same freeway traveling 55 mph. At this rate, in how many miles will the car overtake the truck?

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Question 316607: A truck enters a freeway traveling 40 mph. An hour later, a car enters the same freeway traveling 55 mph. At this rate, in how many miles will the car overtake the truck?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
After 1 hour the truck is 40 miles away.
Dtruck=40%2B40t
Dcar=55t
When the car catches the truck, Dtruck=Dcar,
40%2B40t=55t
15t=40
t=40%2F15=8%2F3
.
.
.
It takes the car 8%2F3 hours to catch the truck.
Dcar=55%288%2F3%29=440%2F3 miles or approximately 146.7 miles.