SOLUTION: How long would it take a jogger traveling at 8 mph to catch up with a person walking 3 mph with a 2-hour head start?
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Question 767212: How long would it take a jogger traveling at 8 mph to catch up with a person walking 3 mph with a 2-hour head start?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In 2 hrs, the walker has a head start of
mi
--------------
Start a stopwatch when the jogger leaves,
let = the time in hrs on the stopwatch when
the jogger catches the walker
-------------
Let = the distance the jogger travels in miles
when the jogger catches the walker
-------------
Walker:
(1)
Jogger:
(2)
-------------
Substitute (2) into (1)
(1)
(1)
(1)
(1)
and
It will take the jogger 1 hr and 12 min to catch the walker
check:
(1)
(1)
(1) mi
and
(2)
(2)
(2) mi
OK
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