One Long Tube

A hypothetical scenario. You are dropped into a tube that is several miles long, end to end. You start at one end at 5 AM, and you begin to make your way towards the other end. As you go, sometimes you move quite fast and sometimes you slow down. Once in a while you stop to rest. You make it to the other end by 5 PM. You sleep. Now it is the next morning, 5 AM again, and you begin the trip back to the end you started at the previous day. Again, you trip varies in speed, and sometimes you even stop. You make it back to the beginning at 5 PM. What is the chance (in a percent form) that you were at some same spot in the tube at the same time on both days?


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