SOLUTION: Carol drove for 3 hours on a two lane state road
she then increased her speed by 10 miles per hour on the freeway and drove for 6 more hours
if the total trip was 555 miles then 
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Question 675157:  Carol drove for 3 hours on a two lane state road
she then increased her speed by 10 miles per hour on the freeway and drove for 6 more hours
if the total trip was 555 miles then what was her speed on the freeway 
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
 Let  = her speed on the 2 lane state road in mi/hr
Let  = her distance on the state road in miles
 = her speed on the freeway in mi/hr
 = her distance on the freeway in miles
-----------
Equation for state road:
(1) 
Equation for freeway:
(2) 
--------------------------
Substitute (1) into (2)
(2) 
(2) 
(2) 
(2) 
(2) 
Her speed on the freeway was 65 mi/hr
check:
(1) 
(1) 
(1) 
and
(2) 
(2) 
(2) 
(2) 
OK
 
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