push-bike vs bike

push-bike and bike both are nouns.

Word	Noun	Adjective	Verb	Adverb
push-bike	Yes	No	No	No
bike	Yes	No	Yes	No

As nouns, bike is a hypernym of push-bike; that is, bike is a word with a broader meaning than push-bike:

Other hypernyms of push-bike include bicycle, cycle, wheel.

push-bike (noun)	bike (noun)
a bicycle that must be pedaled	a wheeled vehicle that has two wheels and is moved by foot pedals
	a motor vehicle with two wheels and a strong frame

push-bike (verb)	bike (verb)
	ride a bicycle