SOLUTION: A car enters the freeway traveling at 60 miles per hour. A second car enters the freeway 11 minutes later traveling at 65 miles per hour. How long will it take for the second car

Question 345517: A car enters the freeway traveling at 60 miles per hour. A second car enters the freeway 11 minutes later traveling at 65 miles per hour. How long will it take for the second car to catch up to the first car?
Found 2 solutions by Fombitz, josmiceli:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Rate*Time=Distance

.
.
.
Convert 11 minutes to hours.
hours
In the 11 minutes, the first car moves,
miles
The distance traveled by the first car is,

The distance traveled by the second car is,

.
.
.
Find when

hr

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In min, the 1st car travels

mi
Assume you have a stopwatch and you start it
when the 2nd car enters the freeway.
Write equations for both cars that show
as the distance that the 2nd car goes
in order to catch the 1st car.
1st car:
(1)
(1)
2nd car:
(2)
Note that the time is when you stop the stopwatch
Set (1) = (2)

hr
It will take 2 hrs and 12 min for 2nd to catch 1st
check:
(1)
(1)

mi
and
(2)
(2)
mi
OK
RELATED QUESTIONS
A car enters a freeway traveling 50 kilometer per hour. One hour later another car enters (answered by Nate)
A truck enters a freeway traveling 40 mph. An hour later, a car enters the same freeway... (answered by Fombitz)
A car enters a freeway traveling 50km/hr. One hour later another car enters the freeway... (answered by Nate)
A car enters a freeway travelling 50 kilometers per hour. One hour later another car... (answered by 303795)
A car enters a freeway travelling 50 kilometers per hour. One hour later another car... (answered by 303795)
A car is traveling on the freeway at 65 mph. A second car is two miles ahead, traveling... (answered by josmiceli,lwsshak3)
A car enters the highway at point a and travels west at a constant speed of 55 miles per... (answered by richwmiller)
If a truck enters the highway at 60 mph, and 6 min later a car enters at the same point... (answered by rfer)
A truck enters a highway driving 60 mph. A car enters the highway at the same place 8... (answered by jorel555)