fare vs eat

fare is a noun but eat is not a noun.

Word	Noun	Adjective	Verb	Adverb
fare	Yes	No	Yes	No
eat	No	No	Yes	No

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

fare (noun)	eat (noun)
an agenda of things to do
the food and drink that are regularly served or consumed
a paying (taxi) passenger
the sum charged for riding in a public conveyance

fare (verb)	eat (verb)
eat well	cause to deteriorate due to the action of water, air, or an acid
proceed or get along	take in solid food
	eat a meal; take a meal
	take in food; used of animals only
	use up (resources or materials)
	worry or cause anxiety in a persistent way