SOLUTION: When a plane flies downwind, the wind pushes the plane so that its speed is the sum of the speed of plane in still air and the speed of wind traveling upwind, the wind pushes again

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Question 11858: When a plane flies downwind, the wind pushes the plane so that its speed is the sum of the speed of plane in still air and the speed of wind traveling upwind, the wind pushes against the plane so that its speed is the difference of the speed of the plane in still air and the speed of the win.
Suppose a plane that travels 255mph in still air can travel 300 miles downwind in the same time as it takes to travel 210 miles upwind.
Complete the table and find speed of the wind
Downwind 255 + x ? 300
Upwind 255 - x ? 210

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Time going 300 miles at (255+x) = Time going 210 miles at (255-x).
Time=%28Distance%29%2F%28Rate%29
300%2F%28255+%2Bx%29+=+210%2F%28255-x%29+

Remember a%2Fb=c%2Fd means ad=bc

so,300%2F%28255+%2Bx%29+=+210%2F%28255-x%29+ means that 300%28255-x%29+=+210%28255%2Bx%29

76500 - 300x = 53550 + 210x
76500 -53550 - 300x = 53550 - 53550 + 210x
22950 - 300x = 210x
22950 = 510x
x= 22950%2F510 = 45 mph.

I'm not sure what to put in the table!! Sorry.

R^2 at SCC