SOLUTION: How long will it take someone running at 12 mph to catch up to someone walking at 5 mph with an hour and a half head start?
I'm thinking that I can set up a system of equations
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Question 548284: How long will it take someone running at 12 mph to catch up to someone walking at 5 mph with an hour and a half head start?
I'm thinking that I can set up a system of equations and figure it out from there, but I can't figure out how to set it up. help please!
Thank-you!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
mi
The 5 mi/hr walker has a 7.5 mi head start
Start a stopwatch when the 12 mi/hr runner starts
It will now take them both the same amount of time
until they meet. Call this time
Runner's equation:
(1)
Walker's equation:
(2)
(2)
(2) hrs
It will take the runner 1 hr and 4 min to catch walker
Really strange numbers, hope I got it right
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