An airplane travels 6903 kilometers against the wind in 9 hours and 8613 kilometers with the wind in the same amount of time. What is the rate of the plane?

Answer:The rate of the plane is 862 miles per hourStep-by-step explanation:An airplane travels 6903 kilometers against the wind in 9 hours.Speed = distance / timeSpeed of the airplane while travelling against the wind is 6903/9 = 767 miles per hourThe 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 hourLet x = speed of the airplaneLet y = speed of the windWhile travelling against the wind,x - y = 767 - - - - - -- 1While travelling with the wind,x + y = 957 - - - - - - -2Subtracting equation 2 from equation 1,-y - y = 767 - 957-2y = -190y = -190/-2y = 95 miles per hourx = 957 - yx = 957 - 95x = 862 miles per hour