YOU SAID:

At work, it was very slow

INTO JAPANESE

仕事で、とても遅かった

BACK INTO ENGLISH

I was very late at work

INTO JAPANESE

私は仕事にとても遅刻しました

BACK INTO ENGLISH

I was very late for work

INTO JAPANESE

私は仕事にとても遅れました

BACK INTO ENGLISH

I was very late for work