SOLUTION: Jen recently rode her bike to visit her friend who lives 12 miles away. On her way there, her average speed was 5 miles per hour faster than on her way home. If Jen spent a total o

Question 1057791: Jen recently rode her bike to visit her friend who lives 12 miles away. On her way there, her average speed was 5 miles per hour faster than on her way home. If Jen spent a total of 2 hours biking, find the two rates.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = her average speed going back home
= her average speed going to friend's house
Let = her time in hrs going back home
= her time in hrs going to friend's house
---------------------------------------------------
Equation for going to friend's house:
(1)
Equation for going back home:
(2)
--------------------------------
(2)
Plug this result back into (1)
(1)
(1)
(1)
(1)
(1)
(1)
(1) ( by looking at it )
(1) ( can't use the negative solution )
and

Going to friend's house: 15 mi/hr
Going back home: 10 mi/hr
-----------------------------------
check:
(2)
(2)
(2) hrs
and
(1)
(1)
(1)
(1)
(1)
(1) hrs
OK
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