Math Teaser #1

Difficulty: Hard

Predictably, Bobby Braingle is once again waiting for the Puzzle Shop to open (he always gets there early). This time, he has arrived over an hour early, and as a consequence stands looking at his watch and counting the seconds and minutes until the shop opens. He noticed something strange about his watch: The minute and the hour hands of his watch meet exactly every 65 minutes. How much time would Bobby's watch gain or lose in an hour, if any?

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