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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