SOLUTION: One hour after a hiker left a camp, a cyclist set out to catch up. If the hiker traveled 3 miles per hour and the cyclist travelled 6 miles per hour faster, how long will it take t
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Question 1024657: One hour after a hiker left a camp, a cyclist set out to catch up. If the hiker traveled 3 miles per hour and the cyclist travelled 6 miles per hour faster, how long will it take the cyclist to catch up with the hiker?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The hiker had a head start of
mi
---------------
Start a stop watch when the cyclist leaves
Let = the time in hrs on the stop watch
when the cyclist catches up with the hiker
---------------
Let = distance cyclist traveled until
cyclist caught up with hiker
---------------
Hiker's equation:
(1)
Cyclist's equation:
(2)
----------------
Substitute (2) into (1)
(1)
(1)
(1)
The cyclist takes 1 hr to catch up with hiker
-----------------
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK
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