Twelve hours and thirty minutes (12:30) pass between 9:30 a.m. and 10:00 p.m. An easy way to figure this out is to add twelve hours to the later time (in this case, 10:00 p.m.) and then subtract the earlier time from it. In this case, this means you would add 12:00 to 10:00 to get 22:00; subtracting 9:30 from 22:00 gives 12:30.
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9 hours.
There are (7.5 + 24k) hours where k is an integer.
7 hours 15 minutes
5.5 + 24k where k is any integer.
The time from 9:30 AM to 4:00 PM is 6 hours and 30 minutes. To break it down, from 9:30 AM to 3:30 PM is 6 hours, and then from 3:30 PM to 4:00 PM is an additional 30 minutes. Thus, the total duration is 6.5 hours.