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1968 AMC 12 Question 25

AMC12 · 1968 AMC 12

Question 25

Ace runs with constant speed and Flash runs $x$ times as fast, $x\gt1.$ Flash gives Ace a head start of $y$ yards, and, at a given signal, they start off in the same direction. Then the number of yards Flash must run to catch Ace is:
  1. $xy$
  2. $\dfrac{y}{x+y}$
  3. $\dfrac{xy}{x-1}$
  4. $\dfrac{x+y}{x+1}$
  5. $\dfrac{x+y}{x-1}$