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Phrase(s): Could I have a lift? [and] How about a lift?
Would you please give me a ride (in your car)? (This usually refers to a destination that is the same as the driver’s or on the way to the driver’s destination. Also used with can or may in place of could.) • Bob: Going north? Could I have a lift? Bill: Sure. Hop in. Bob: Thanks. That’s such a long walk to the north end of campus. • Sue: Can I have a lift? I’m late. Mary: Sure, if you’re going somewhere on Maple Street.
McGrawhill's American Idioms And Phrasal Verbs