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) About Me  (Show Source):
You can put this solution on YOUR website!
In 2 hrs, the walker has a head start of
+d%5B1%5D+=+3%2A2+
+d%5B1%5D+=+6+ mi
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Start a stopwatch when the jogger leaves,
let +t+ = the time in hrs on the stopwatch when
the jogger catches the walker
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Let +d+ = the distance the jogger travels in miles
when the jogger catches the walker
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Walker:
(1) +d+-+6+=+3t+
Jogger:
(2) +d+=+8t+
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Substitute (2) into (1)
(1) +8t+-+6+=+3t+
(1) +5t+=+6+
(1) +t+=+6%2F5+
(1) +t+=+1.2+
and +.2%2A60+=+12+
It will take the jogger 1 hr and 12 min to catch the walker
check:
(1) +d+-+6+=+3%2A1.2+
(1) +d+=+6+%2B+3.6+
(1) +d+=+9.6+ mi
and
(2) +d+=+8t+
(2) +d+=+8%2A1.2+
(2) +d+=+9.6+ mi
OK