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1952 AMC 12 Question 32

AMC12 · 1952 AMC 12

Question 32

$K$ takes $30$ minutes less time than $M$ to travel a distance of $30$ miles. $K$ travels $\dfrac13$ mile per hour faster than $M.$ If $x$ is $K$’s rate of speed in miles per hour, then $K$’s time for the distance is:
  1. $\dfrac{x+\frac{1}{3}}{30}$
  2. $\dfrac{x-\frac{1}{3}}{30}$
  3. $\dfrac{30}{x+\frac{1}{3}}$
  4. $\dfrac{30}{x}$
  5. $\dfrac{x}{30}$