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.

With wind data:
distance = 120 miles; time = 3/4hr ; rate = 120/ 3/4 = 160 mph

Against the wind data:
distance = 120 miles; time = 1 hr ; rate = 120 mph

Let the x represent the speed of the plane in the air (still)
Let the y represent the speed of the wind

Use the equations:
with wind: x + y = 160 mph
against wind: x - y = 120 mph

25 is obviously the correct answer