Jordan runs at a speed of 8 miles per hour. He runs from his house to the park, which is 6 miles away, and then runs back home. Meanwhile, his friend Taylor starts cycling from the park to Jordan’s house at a speed of 12 miles per hour but leaves 10 minutes after Jordan starts running. How long, in minutes, after Taylor starts cycling will they meet? Let's think step by step and output the final answer within \boxed{}.
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