Alright, darkish-raven was fairly close, but here is the answer.
Every hour, the guard wakes up. By the time you get half-way across, the guard will wake up, correct? Well, right before the guard wakes up, turn around.
A man rides into town on Tuesday and stays in a hotel for six days and six nights, then immediatley leaves after the six days and six nights on Tuesday.
How is that possible?
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