The speed of the plane in still air is 278mph and the speed of the wind is 24mph.
Here we have to find the speed of the plane in still air and the speed of the wind.
Let x be the speed of the plane and y be the speed of the air.
Data given:
Speed of the plane with the air = ( x + y) = 302mph
Speed of the plane opposite the air = ( x - y) = 254mph
Speed of the plane = (x + y) + (x-y) = 2x = 302 + 254
x = 556/2
= 278 mph
Speed of the air = (x+y) - (x-y) = 2y = 302 - 254
y = 48/2
= 24mph
Therefore the speed of the plane is 278mph and the speed of the air is 24mph.
To know more about the speed refer to the link given below:
https://brainly.com/question/13943409
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