run down vs eat up

run down and eat up both are verbs.

Word	Noun	Adjective	Verb	Adverb
run down	No	No	Yes	No
eat up	No	No	Yes	No

As verbs, eat up is a hypernym of run down; that is, eat up is a word with a broader meaning than run down:

Other hypernyms of run down include consume, deplete, eat, exhaust, expend, run through, use, use up, wipe out.

run down (verb)	eat up (verb)
use up all one's strength and energy and stop working	finish eating all the food on one's plate or on the table
injure or kill by knocking (someone or something) down and passing over the body, as with a vehicle	use up (resources or materials)
pursue until captured	enclose or envelop completely, as if by swallowing
move downward
examine hastily
deplete
trace