Answer:
Speed of the plane: 250 mph
Speed of the wind: 50 mph
Explanation:
Let x be the speed of the plane.
Let y be the speed of the wind
#Given that It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. We set our equations as:

Hence, the speed of wind is 50 mph and the speed of the plane is 250 mph.