There are 12 hours in a day after noon.
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Noon to 4:15pm is 4 hours and 15 minutes. Noon to 4:15am is 16 hours and 15 minutes.
There is no such time as 12 am. am stands for "before noon" and before noon cannot be noon.
From 9:00 A.M. to 6:30 P.M. the same day is 9½ hours. 9:00 A.M. to noon is 3 hours, and noon to 6:30 P.M. is 6½ hours, so 3 + 6½ = 9½ hours.
Time is divided into: 24 hours equalling a day and a night. (midnight to noon = 12 hours, noon to midnight = 12 hours). There are 60 minutes in 1 hour. There are 60 seconds in 1 minute.
Technically, 12 AM doesn't exist. We refer to 12 noon or 12 midnight. From 6 AM, it is six hours till noon, and eighteen hours till midnight.