Longman Dictionary of Contemporary English homepage

headway

 noun
     
head‧way

make headway

a) to make progress towards achieving something - used especially when this is difficult
make headway towards/in/with etc
Foreign firms have made little headway in the U.S. market.
b) to move forwards - used especially when this is slow or difficult:
Stormy weather stopped the ship from making headway.
Definition from the Longman Dictionary of Contemporary English
Advanced Learner's Dictionary.
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