Headway vs. progress

[Englishfan]

What is the difference between we are making headway and we are making progress? I appreciate your explanations. Thank you.

[Mister Micawber]

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No difference in the action, but headway is used to suggest progress forward and against difficulties. Progress is also the more commonly used word in matters non-physical, I think.
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Native English teacher at Mister Micawber's