SOLUTION: two cyclists leave a city at the same time one going east and the other going west. the west bound cyclist bikes at 12 mph faster than the east bound cyclist. after 3 hours they ar

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Question 978858: two cyclists leave a city at the same time one going east and the other going west. the west bound cyclist bikes at 12 mph faster than the east bound cyclist. after 3 hours they are 126 miles apart. how fast is each cyclist riding?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Think of this as one cyclist standing still and
the other one biking at the sum of their speeds
until they are mi apart
Let = the speed of the slower cyclist in mi/hr
= the speed of the faster cyclist in mi/hr
----------------------------------------





and

------------------
The east bound cyclist is going 15 mi/hr
The west bound cyclist is going 27 mi/hr
-------------
check:
e.b. cyclist:


------------
w.b. cyclist:


---------------


OK

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