This is the 10077th most frequent Japanese word.
遅
"遅" means "late" or "slow."
Here, '遅い' refers to the slow movement or lag of the clock's hands.
時計の針が遅いので調整が必要です。
The clock's hands are slow, so adjustment is needed.
Here, '遅れて' is used to describe a delay in the arrival or schedule of the train.
電車が遅れてしまいました。
The train was delayed.
In this sentence, '遅くなりました' illustrates a person's action causing lateness.