Meet-Up Problems: Problem 2

Problem: Two people Lily and Michael are walking towards each other. They are 50 kilometers from each other. They start at the same time. Lily walks at a rate of 3 kilometers per hour, while Michael walks at a rate of 2 kilometers per hour. Lily has a dog that trots at a rate of 5 kilometers per hour. This dog starts walking the same time Lily starts. When it reaches Michael, it turns around to go towards Lily. After meeting Lily, it turns around and starts towards Michael. It keeps moving in this pattern until Lily and Michael meet. Q: How many kilometers did the dog travel?

Key: Defining what's needed only to find the distance the dog travels

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