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An airplane travels 800 miles with the wind in the same of time it takes to travel 650 miles against the wind. What is the speed of the wind of the airplane rate is 525 miles per hour in still air?

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Answer:

90 mph

Step-by-step explanation:

Against wind DATA:

distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph

With wind DATA:

distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph

Equations:

p + w = 300

p - w = 120

2p = 420

p = 210 mph (speed of the plane in still air)

Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)

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