SOLUTION: Santos flies a plane against a headwind for 3933 miles. The return trip with the wind took 12 hours less time. If the wind speed is 6 mph, how fast does Santos fly the plane when t

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Santos flies a plane against a headwind for 3933 miles. The return trip with the wind took 12 hours less time. If the wind speed is 6 mph, how fast does Santos fly the plane when t      Log On


   



Question 1077432: Santos flies a plane against a headwind for 3933 miles. The return trip with the wind took 12 hours less time. If the wind speed is 6 mph, how fast does Santos fly the plane when there is no wind?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
                 SPEED    TIME             DISTANCE
AGAINST WIND      r-6     3933/(r-6)       3933
WITH WIND         r+6     3933/(r+6)        3933
Difference?                 12

Time against the wind took longer, so was larger.
3933%2F%28r-6%29-3933%2F%28r%2B6%29=12
Solve this for r.