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1973 AMC 12 Question 27

AMC12 · 1973 AMC 12

Question 27

Cars $A$ and $B$ travel the same distance. Car $A$ travels half that distance at $u$ miles per hour and half at $v$ miles per hour. Car $B$ travels half the time at $u$ miles per hour and half at $v$ miles per hour. The average speed of Car $A$ is $x$ miles per hour and that of Car $B$ is $y$ miles per hour. Then we always have
  1. $x\le y$
  2. $x\ge y$
  3. $x=y$
  4. $x\lt y$
  5. $x\gt y$