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Phrase(s): drive someone on (to something)
to make someone move onward toward some kind of success. • She said her parents drove her on to finish law school. • They drove on their daughter to great things. • The thought of earning a large salary drove him on., Phrase(s): drive on
to continue driving; to continue with one’s journey. • We drove on for a little while. • The traffic jam is breaking up, so we can drive on.
McGrawhill's American Idioms And Phrasal Verbs