an aircraft travels with the wind for 120 miles in 0.75 of an hour. the return trip is flown against the wind and takes exactly 1 hour. which system of linear equations represents x, the speed of the plane in miles per hour, and y, the speed of the wind in miles per hour? recall the formula d = rt.

Respuesta :

Traveling with the wind, the total rate of aircraft is x + y. Multiplying this rate by time, 0.75 hour, will yield a distance of 120 miles. On the other hand, the net rate of the aircraft when it traveled against the wind is x - y. When this rate is multiplied by time, 1 hour, it traveled the same distance. The system of linear equation that best describe these situations is,
                                      0.75x + 0.75y = 120
                                             x - y = 120
                             
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