SOLUTION: how long will it take for a 52 mph car take to catch up to a car at 26 mph if the car at 26 mph had a 2 hour head start

Question 746377: how long will it take for a 52 mph car take to catch up to a car at 26 mph if the car at 26 mph had a 2 hour head start

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In hrs, the slower car has a head start of

mi
Let = the distance the faster car goes until
it catches the slower car.
Start a stopwatch when the faster car leaves
Let = the time on the stopwatch.
Equation for faster car:
(1)
Equation for slower car:
(2)
-------------------
substitute (1) into (2)
(2)
(2)
(2)
It takes the faster car 2 hrs to catch the slower car
check:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
(2) mi
OK

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