SOLUTION: Sierra went on a 96 mile trip to a soccer game. On the way back, due to road construction she had to drive 16 miles per hour slower. This made the trip take 1 hour longer. How fast

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Sierra went on a 96 mile trip to a soccer game. On the way back, due to road construction she had to drive 16 miles per hour slower. This made the trip take 1 hour longer. How fast      Log On

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Question 1193303: Sierra went on a 96 mile trip to a soccer game. On the way back, due to road construction she had to drive 16 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
                  SPEED          TIME              DISTANCE
GOING TO            r            96/r                96
COMING BACK        r-16           96/(r-16)            96
DIFFERENCE                         1

96%2F%28r-16%29-96%2Fr=1---------solve this for r.


96r-%2896%28r-16%29%29=r%5E2-16r
96r-%2896r-96%2A16%29=r%5E2-16r
96r-96r%2B96%2A16=r%5E2-16r
r%5E2-16r=96%2A16
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r%28r-16%29=96%2A16
2%2A48%2A16
48%2A32-------these differ by 16.
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r%28r-16%29=48%2A32---------r should equal highlight%28highlight%2848%29%29.


check:
96%2F%2848-16%29-96%2F48
96%2F32-2=
3-2
1
check worked.