SOLUTION: Arturo flies a plane against a headwind for 4543 miles. The return trip with the wind took 18 hours less time. If the wind speed is 9 mph, how fast does Arturo fly the plane when t

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Arturo flies a plane against a headwind for 4543 miles. The return trip with the wind took 18 hours less time. If the wind speed is 9 mph, how fast does Arturo fly the plane when t      Log On


   

Question 1077431: Arturo flies a plane against a headwind for 4543 miles. The return trip with the wind took 18 hours less time. If the wind speed is 9 mph, how fast does Arturo fly the plane when there is no wind?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
               SPEED       TIME      DISTANCE
AGAINST        r-9          t        4543
WITH W         r+9         t-18      4543


System of equations: system%28rt-9t=4543%2Crt%2B9t-18r=4705%29


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A POSSIBLE, NEATER WAY:
the difference between t and t-18 is 18.
4543%2F%28r-9%29-4543%2F%28r%2B9%29=18
Solve this equation for r.