Let the rate of the plane in still air be v;
Let the rate of the plane with the wind be u;
Thus, when the airplane flies against the wind, we have;
Also, when the same airplane flies with the wind, we have;
Thus, we solve equation 1 and equation 2 simultaneously by subtracting equation 1 from equation 2. We have;
Thus, we substitute the value of u in equation 2, we have;
Hence, the rate of the airplane in still air is 710km/hour and the rate of the airplane with the wind is 220km/hour.