Me and a friend had an argument this morning about speed and resistance. Scenario is 2 identicle cars are driving single file, 5 feet apart, at a constant rate of 60 mph with a head wind of 45 mph. My friend says that the car in the back will run into the car ahead of it. I explain that the cars are moving the same speed so they will never hit unless the front car runs out of fuel because that is the only difference that the wind resistance would make.

First, someone please tell me if I'm wrong because I don't think I am. Second, I need a better way to explain this to him and a way to prove that if 2 objects are moving at a constant rate of speed, one with resistance and one without, they are going to cover the same distance in the same time.

Thanks for your time!