Can anyone help me get started on this math problem? I understand what the problem is purposing and I already know that it is indeed true, but how do I prove it?
Suppose there is a circular auto track that is one mile long. Along the track there are n > 0
gas stations. The combined amount of gas in all gas stations allows a car to travel exactly one
mile. A car has a gas tank that will hold a lot more than needed to get around the track once, but it starts out empty.
Show that no matter how the gas stations are placed, there is a starting point for the car such
that it can go around the track once (clockwise) without running out of gas.