An airplane travels 600 miles against the wind in 5 hours, and makes the return trip with the same wind in 1 hour. Find the speed of the wind.
Airplane speed - wind speed = 600/5 = 120 mph.
Airplane speed + wind speed = 600/1 = 600 mph.
Solve the system: x + wind = 600 x - wind = 120
so 2x = 720 and x = 360
so the speed of the plane is 360 and that of the wind is 240.
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