The train is due to arrive at quarter past the hour.
top of the hour
Frequency:
60
%
The news broadcast starts at the top of the hour.
bottom of the hour
Frequency:
50
%
The bus departs at the bottom of the hour.
Idiomatic Expressions for after the hour
Phrase: Better late than never
Meaning: It is better to do something or arrive late than to not do it at all.
Usage: He finally submitted his project after the hour, but better late than never.