Definition of work up to phrasal verb from the Oxford Advanced American Dictionary

 

work up to

 phrasal verb
phrasal verb
 
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Phrasal Verbs

work up to something

 
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to develop or move gradually toward something, usually something more exciting or extreme The music worked up to a rousing finale. I began by jogging in the park and worked up to running five miles a day.
See the Oxford Advanced Learner's Dictionary entry: work up to