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Diego and Elena are 2 miles apart and begin walking towards each other. Diego walks at a rate of 3.7 miles per hour and Elena walks 4.3 miles per hour. While they are walking, Elena's dog runs back and forth between the two of them, at a rate of 6 miles per hour. Assuming the dog does not lose any time in turning around, how far has the dog run by the time Diego and Elena reach each other?

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Answer:

Write a distance equation, dist = speed * time.When they meet, the sum of their distances = 2mi

3.7t + 4.3t = 2

8t = 2t = 2/8 or 1/4 hr or 15 min:the dog was running for 1/4 hr at 6 mph 1%2F4 * 6 = 1.5 mi the dog ran

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