Problem:
Sunny runs at a steady rate, and Moonbeam runs times as fast, where is a number greater than . If Moonbeam gives Sunny a head start of meters, how many meters must Moonbeam run to overtake Sunny?
Answer Choices:
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Solution:
Let be the number of meters that Moonbeam runs to overtake Sunny, and let and be the rates of Sunny and Moonbeam, respectively. Because Sunny runs meters in the same time that Moonbeam runs meters, it follows that . Solving for , we get .