Erik's dog can run 24 miles per hour. It is chasing a rabbit that can run 15 miles per hour. The rabbit has a head start of .6 miles. How many minutes does it take for the dog to catch up to the rabbit? Give me reasons, before answering the question
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The dog runs .4 miles per minute because 24 / 60 = .4. The rabbit runs .25 miles per minute because 15 / 60 = .25. We know that .4(Number of Minutes) = .25(Number of Minutes) + .6. Therefore .15(Number of Minutes) = .6. Therefore (Number of Minutes) = 4. So the final answer is 4.
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