SOLUTION: Chloe went on a 168 mile trip to a soccer game. On the way back, due to road construction she had to drive 14 miles per hour slower. This made the trip take 1 hour longer. How fast

Question 1030704: Chloe went on a 168 mile trip to a soccer game. On the way back, due to road construction she had to drive 14 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = her speed in mi/hr going to the game
Let = her time in hrs going to the game
-------------------------------
equation going to the game
(1)
Equation for coming back from game
(2)
--------------------------------
(2)
(2)
and
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
Complete the square
(2)
(2)
(2)
(2)
Take the square root of both sides
(2)
(2)
She drove 56 mi/hr to the soccer game
--------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
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