Re: Surely it wil average out
"No, because drag costs more energy than pushing gives."
If wind ever pushed a plane it would fall out of the sky. There is only drag and at the same air speed the drag is unchanged.
It is true that it doesn't average out if you have to fly through the same wind in both directions. If for example your plane can fly at 300mph air speed in a 300mph head wind it would never arrive.