Answer:
The rate of the plane is 862 miles per hour
Step-by-step explanation:
An airplane travels 6903 kilometers against the wind in 9 hours.
Speed = distance / time
Speed of the airplane while travelling against the wind is
6903/9 = 767 miles per hour
The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be
8613/9 = 957 miles per hour
Let x = speed of the airplane
Let y = speed of the wind
While travelling against the wind,
x - y = 767 - - - - - -- 1
While travelling with the wind,
x + y = 957 - - - - - - -2
Subtracting equation 2 from equation 1,
-y - y = 767 - 957
-2y = -190
y = -190/-2
y = 95 miles per hour
x = 957 - y
x = 957 - 95
x = 862 miles per hour
