SOLUTION: Rick robbed a bank and left town at 64 mph. His crime was discovered 45 minutes later when the sheriff took off in hot pursuit at 80 mph. How long until the sheriff catches up?

Question 220538: Rick robbed a bank and left town at 64 mph. His crime was discovered 45 minutes later when the sheriff took off in hot pursuit at 80 mph. How long until the sheriff catches up?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Assume I have a stopwatch. I will start the stopwatch
when the sheriff leaves. At that time, Rick has travelled
(45 min is 3/4 of an hour)
mi
So, Rick has a 48 mi headstart
From this headstart to where the sheriff catches him,
call in miles
For the sheriff:

For Rick:

By substitution:

hrs
The sheriff catches him 3 hrs after the sheriff leaves town
check answer:
(for Rick)

mi
So, Rick went a total of mi at mi/hr
The sheriff went mi also at mi/hr
For Rick:

hrs for the whole trip for Rick
For Sheriff:

hrs for the whole trip for Sheriff
Note that , which is
the 45 min headstart that Rick had

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