pull ahead
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pull ahead (of someone or something)
1. To move to a physical location in front of another person or thing, especially during a race. They were neck and neck during the race, but the Nigerian runner pulled ahead in the final seconds. I need to follow behind you to know where we're going, so please don't pull too far ahead of us in traffic.
2. To move into a position of greater success (than someone or something) in some competitive activity. The software giant has begun pulling ahead in the video game market thanks to its revolutionary new console. She pulled ahead of her opponent in the election.
pull ahead (of someone or something)
to pass someone or something and continue moving. The runner pulled ahead of the rest of the field. Our car pulled ahead of theirs.