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1955 AMC 12 Question 50

AMC12 · 1955 AMC 12

Question 50

In order to pass $B$ going $40$ mph on a two-lane highway $A,$ going $50$ mph, must gain $30$ feet. Meantime, $C,$ $210$ feet from $A,$ is headed toward him at $50$ mph. If $B$ and $C$ maintain their speeds, then, in order to pass safely, $A$ must increase his speed by:
  1. $30$ mph
  2. $10$ mph
  3. $5$ mph
  4. $15$ mph
  5. $3$ mph