Two cyclists, Alice and Bob, are racing along a track. Alice rides at a consistent speed of 15 miles per hour, and Bob rides at a consistent speed of 12 miles per hour. They both start at the same time and ride for 2 hours and 30 minutes. Afterward, Alice takes a 30-minute break, while Bob continues to ride for another 15 miles. After her break, Alice resumes riding at the same speed for 1 hour and 30 minutes. At the end of their rides, who has traveled a greater distance, and by how many miles? Let's think step by step and output the final answer within \boxed{}.
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