SOLUTION: If a plane can travel 500 miles per hour with the wind and 440 miles per hour against the wind, find the speed of the plane without a wind and the speed of the wind. what is the

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Question 762107: If a plane can travel 500 miles per hour with the wind and 440 miles per hour against the wind, find the speed of the plane without a wind and the speed of the wind.
what is the speed of the plane in still air in miles per hour?
what is the speed of the wind per hour?
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Let speed in still air be x.
Let wind speed be y.
While flying with wind, effective speed = x+%2B+y+=+500
While flying against the wind, effective speed = x+-+y+=+440
From eqn1, x = 500 - y
Substituting for x in eqn2, 500+-+y+-+y+=+440
2%2Ay+=+60 or y+=+30
So x+=+500+-+30+=+470
Speed of plane in still air is highlight%28470%29 mph and wind speed is highlight%2830%29 mph.
:)

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