Question 1158673
Let the speed of the airplane be x mph and the speed of the wind y mph. We have the system of equations {{{system(x+y=300,x-y=200)}}}. Adding the two equations together gives {{{2x=500}}}. Dividing both sides by 2 gives {{{highlight(x=250)}}}. Plugging this into either equation gives {{{highlight(y=50)}}}. So the airplane's speed is 250 mph and the wind's speed is 50 mph.