Find the speed of the airplane in the still wind, and the speed of the wind?

An airplane travels 4050 miles in 4.5 hours with the aid of a tail wind. It takes 5 hours for the return trip, flying against the same wind. Find the

An airplane travels 4050 miles in 4.5 hours with the aid of a tail wind. It takes 5 hours for the return trip, flying against the same wind. Find the speed of the airplane in the still wind, and the speed of the wind.

or:An airplane travels 4050 miles in 4.5 hours with the aid of a tail wind. It takes 5 hours for the return trip, flying against the same wind. Find the speed of the airplane in the still wind, and the speed of the wind.

or:a = speed of the aircraftb = speed of the breezeOn the journey there the two speeds add up to [1]: a + b = 4050 / 4.5 = 900 mphOn the way back the aircraft has the opposite direction, so we'll have to subtract b from a[2]: a - b = 4050 / 5 = 810 mphWe have to solve this system of two equations[3]:=[1]-[2]: 2b = 90 mph[4]: b = 45 mph The speed of the wind is 45 mph.[5]:=[1]

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