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​​Rohit goes to a restaurant for lunch at about $1$ $\text{PM}$. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?

  1. $64 \frac{6}{11}$
  2. $66 \frac{5}{13}$
  3. $65 \frac{5}{11}$
  4. $66 \frac{6}{13}$

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