Is it possible to 'round' a time to the next nearest 15min interval?

As an example in cell A1 I have a value that returns 2:07 PM (its formated
as h:mm AM/PM), but in B1 I wish to translate this to the nearest 15min
interval in an hour which is 2:15 PM, if the value in A1 was 5:39 PM I would
want to show 5:45 PM in B1 etc etc

Any guidance appreciated