SOLUTION: An L1011 traveled 645 mph with the wind and 575 mph against the wind. Find the speed of the plane in still air and the speed of the wind.

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Question 736483: An L1011 traveled 645 mph with the wind and 575 mph against the wind. Find the speed of the plane in still air and the speed of the wind.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the speed of the plane in still air
Let +w+ = the wind speed
+p+%2B+w+ = the speed of the plane flying with the wind
+p+-+w+ = the speed of the plane flying against the wind
----------------
Flying with the wind:
+645+=+p+%2B+w+
+575+=+p+-+w+
Add the equations
+1220+=+2p+
+p+=+610+ mi/hr
and
+645+=+610+%2B+w+
+w+=+35+ mi/hr