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Phrase(s): ride someone or an animal down
to chase down someone or an animal while riding on horseback. • The mounted policeman rode the mugger down and captured him. • The rider rode down the thief. • We had to ride down the runaway horse., Phrase(s): ride something down
to ride on something that is going down, such as an elevator. • You take the stairs, and I will ride the elevator down. • I don’t want to ride the cable car down. I will walk.
McGrawhill's American Idioms And Phrasal Verbs