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1962 AMC 12 Question 35

AMC12 · 1962 AMC 12

Question 35

A man on his way to dinner shortly after $6{:}00$ p.m. observes that the hands of his watch form an angle of $110^\circ.$ Returning before $7{:}00$ p.m. he notices that again the hands of his watch form an angle of $110^\circ.$ The number of minutes that he has been away is:
  1. $36\dfrac23$
  2. $40$
  3. $42$
  4. $42.4$
  5. $45$