In England this would be referred to as '10;30' or 'half past ten'.
On the am/pm clock you would write 10:30 am ( morning) or 10:30 pm (evening)
On the 24 hour clock it is 1030 hrs (for morning) or 2230 hrs ( evening).
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The clock lost 32 seconds in 32 hours ie 1 second per hour. So in half an hour it would have lost half a second.
1 and a half hours before noon would be 10:30 AM. This is because there are 60 minutes in an hour, so half an hour before noon would be 11:30 AM, and subtracting another hour gives us 10:30 AM.
In the 12 hour clock system, half past two is 2.30am/pm; under the 24 hour format it is written as 02.30 or 14.30.
The difference between 12 hour clock and a 24 hour clock is that when you say 1:00am for a 12 hour clock you would say 0100 hours
Half an hour before midnight would be 11:30 PM. This is because there are 60 minutes in an hour, so half an hour before midnight (12:00 AM) would be 30 minutes before, which is 11:30 PM.