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1962 AMC 12 Question 24

AMC12 · 1962 AMC 12

Question 24

Three machines $P,$ $Q,$ and $R,$ working together, can do a job in $x$ hours. When working alone, $P$ needs an additional $6$ hours to do the job; $Q,$ one additional hour; and $R,$ $x$ additional hours. The value of $x$ is:
  1. $\dfrac23$
  2. $\dfrac{11}{12}$
  3. $\dfrac32$
  4. $2$
  5. $3$