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

Click here to see ALL problems on Travel Word Problems

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