pull ahead vs make headway

pull ahead and make headway both are verbs.

Word	Noun	Adjective	Verb	Adverb
pull ahead	No	No	Yes	No
make headway	No	No	Yes	No

As verbs, pull ahead and make headway are synonyms defined as:

Other synonyms of pull ahead include advance, gain, gain ground, get ahead, win.

pull ahead (verb)	make headway (verb)
obtain advantages, such as points, etc.	obtain advantages, such as points, etc.