A plane is traveling between two cities that are 2000 miles apart. The destination city is north of the departure city. The plane is leaving at 10 am and is to arrive at 2 pm. There is a NNE wind (N 22.5 degrees NE) at 20 mph.
I know the normal speed of the plane will 500 mph. The plane must also correct for the wind aiming the nose to the west because of the wind. But will the plane need to increase speed because of the wind? I am a little stuck on how to set up the problem.