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
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.