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1966 AMC 12 Question 34

AMC12 · 1966 AMC 12

Question 34

Let $r$ be the speed in miles per hour at which a wheel, $11$ feet in circumference, travels. If the time for a complete rotation of the wheel is shortened by $\dfrac14$ of a second, the speed $r$ is increased by $5$ miles per hour. Then $r$ is:
  1. $9$
  2. $10$
  3. $10\dfrac12$
  4. $11$
  5. $12$