SOLUTION: a plane can travel 480 mph in calm air. flying with the wind, the plane can travel 600 miles in the same amount of time it takes to travel 480 miles against the wind. find the rate
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Question 600011: a plane can travel 480 mph in calm air. flying with the wind, the plane can travel 600 miles in the same amount of time it takes to travel 480 miles against the wind. find the rate of the wind.
You can put this solution on YOUR website! Speed of the plane in calm air = 480 mph
Let speed of air = X mph
Effective speed of the plane with the wind = 480 + X
Effective speed of the plane against the wind = 480 - X
According to the question,
Time taken by the plane to travel 600 miles with the wind = Time taken by the plane to travel 480 miles against the wind
i.e. (using the formula Time = Distance/Speed)
i.e.
i.e. 4*(480 + X) = 5*(480 - X)
i.e. 1920 + 4X = 2400 - 5X
i.e. 9X = 480
X = 480/9 = 53.33
