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Question: a tortoise and hare jog around a circular track first...

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A tortoise and hare jog around a circular track. First, the tortoise begins from the starting line; he jogs at a steady pace, completing one lap every 45 minutes. The hare begins from the starting line 30 minutes after the tortoise, traveling in the same direction; the hare completes one lap every 10 minutes. How often do the tortoise and hare cross paths?

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