The Principle of Relativity states that the laws of physics are the same in any inertial reference frame. If you stick your hands out the window traveling at such some speed v, then the force you "feel" pushing your hand back is the collision of various air particles running into your hands (You are hitting them in your frame, and they are hitting you in their rest frame.) Assuming that all the air molecules were traveling along with you, which I think is what you mean by "60 km/hr wind travelling with the car," then there would not be any collisions, and therefore you would feel no force.

There is no drag force if you are not moving relative to the fluid, and if you were, as in this case, "travelling" along with all the air molecules, your position with respect to any one of them remains unchanged and so there is no drag force.

This was my thought, my brother and I now have a bet, he thinks you will feel something.
Thanks a lot, you have helped me out

if the air is travelling 55 mph you feel 5mph headwind. if the wind is 65 mph you feel 5 mph tailwind. at 50 mph you feel nothing. again think about swimming downstream.

Thank you, this backs up my theory