They usually wear a collar and tie to work 中的to work 做什么成分

问题描述:

They usually wear a collar and tie to work 中的to work 做什么成分

这是新概念三第四课里面的句子么.
原句应该是they usually wear a collar and tie to go to work.
不定式引导目的状语.
to go to work 作状语.