quickness vs rate

quickness and rate both are nouns.

Word	Noun	Adjective	Verb	Adverb
quickness	Yes	No	No	No
rate	Yes	No	Yes	No

As nouns, rate is a hypernym of quickness; that is, rate is a word with a broader meaning than quickness:

Other hypernyms of quickness include pace.

quickness (noun)	rate (noun)
a rate that is rapid	the relative speed of progress or change
intelligence as revealed by an ability to give correct responses without delay	amount of a charge or payment relative to some basis
skillful performance or ability without difficulty	a quantity or amount or measure considered as a proportion of another quantity or amount or measure
	a magnitude or frequency relative to a time unit

quickness (verb)	rate (verb)
	assign a rank or rating to
	estimate the value of
	be worthy of or have a certain rating