Edmond toured New York City with his family. They started their tour at 3:05 P.M. at the Empire State Building, where they spent 45 minutes. They spent 2 hours and 45 minutes in Central Park and 1 hour and 10 minutes in Times Square before dinner. What time was it when Edmond and his family went to dinner?

Include A.M. or P.M. in your answer (for example, 11:58 A.M.).