Flying with the wind a plane went 198 mph. Flying into the same wind the plane only went 162 mph. Find the speed of the plane in still air and the speed of the wind

Answer: speed of plane in still air is 180 miles per hourspeed of the wind is 18 miles per hourStep-by-step explanation:Flying with the wind, the plane went 198 miles per hour. This means if was flying in the same direction with the wind. This is same as the speed in still air because there was no opposition from the wind.Flying into the same wind the plane only went 162 mph. This means that the plane flew against the windLet x = the speed of the planeLet y = the speed of the windwhen flying with the wind, x + y = 198 - - - - - - -1When flying against the wind,x - y = 162 - - - - - - - -2Subtracting equation 2 from equation 1,y - - y = 198 - 1622y = 36y = 36/2 = 18 miles per hourx = 198 - y = 198 -18x = 180 miles per hour