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1996 AMC 12 Question 13

AMC12 · 1996 AMC 12

Question 13

Sunny runs at a steady rate, and Moonbeam runs $m$ times as fast, where $m$ is a number greater than $1.$ If Moonbeam gives Sunny a head start of $h$ meters, how many meters must Moonbeam run to overtake Sunny?
  1. $hm$
  2. $\frac{h}{h+m}$
  3. $\frac{h}{m-1}$
  4. $\frac{hm}{m-1}$
  5. $\frac{h+m}{m-1}$