SOLUTION: A car is traveling on the freeway at 65 mph. A second car is two miles ahead, traveling in the same direction, at 60 mph. How far will the cars travel before the car traveling 65 m

Question 847872: A car is traveling on the freeway at 65 mph. A second car is two miles ahead, traveling in the same direction, at 60 mph. How far will the cars travel before the car traveling 65 mph will catch up to the car traveling 60 mph?
Found 2 solutions by josmiceli, lwsshak3:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the distance in miles that the
65 mi/hr car has to travel to catch the 60 mi/hr car
------------------------------------------------------
is the distance in miles that the
60 mi/hr car has to travel until the other car
catches up
------------------------------------------------
Start a stopwatch when the 65 mi/hr car is 2 miles
behind the 60 mi/hr car
Let = the time on the stopwatch when
the cars meet
-----------------------------------------------------
Equation for 65 mi/hr car:
(1)
Equation for 60 mi/hr car:
(2)
---------------------------
Substitute (1) into (2)
(2)
(2)
(2) hrs
and
(1)
(1)
(1) mi
and, also:

The 65 mi/hr car travels 26 mi
The 60 mi/hr car travels 24 mi
-------------------------------
check:
(2)
(2)
(2)
OK

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A car is traveling on the freeway at 65 mph. A second car is two miles ahead, traveling in the same direction, at 60 mph. How far will the cars travel before the car traveling 65 mph will catch up to the car traveling 60 mph?
***
let x=distance 1st car traveled
x-2=distance 2nd car traveled
travel time=distance/speed
..

60x=65x-130
5x=130
x=26
x-2=24
distance 1st car traveled=26 miles
distance 2nd car traveled=24 miles
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