SOLUTION: PLEASE HELP!!! the average speed in still air of a certain plane is 500 km/h. with a constant wind blowing, the plane takes 4 1/6 hour to fly 1040 km into the wind and then re

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: PLEASE HELP!!! the average speed in still air of a certain plane is 500 km/h. with a constant wind blowing, the plane takes 4 1/6 hour to fly 1040 km into the wind and then re      Log On


   



Question 734758: PLEASE HELP!!!

the average speed in still air of a certain plane is 500 km/h. with a constant wind blowing, the plane takes 4 1/6 hour to fly 1040 km into the wind and then return the same distance. what is the speed of the wind?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = wind speed in km/hr
+500+-+w+ = speed of the plane flying into the wind
+500+%2B+w+ = speed of the plane flying with the wind
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Flying into the wind:
+1040+=+%28+500+-+w+%29%2A%2825%2F6%29+
+6240+=+25%2A%28+500+-+w+%29+
+6240+=+12500+-+25w+
+25w+=+12500+-+6240+
+25w+=+6260+
+w+=+250.4+
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This seems too high for wind speed.
I'll check it:
+1040+=+%28+500+-+w+%29%2A%2825%2F6%29+
+1040+=+%28+500+-+250.4+%29%2A%2825%2F6%29+
+1040+=+249.6%2A%28+25%2F6+%29+
+1040+=+1040+
OK