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Longman Dictionary of Contemporary English
push-bike
noun
EXAMPLES FROM CORPUS
▪ Anyway, his push-bike would help to keep him for and conserve the precious petrol for more exciting excursions.
Wiktionary
push-bike

n. (context AU NZ UK English) a pedal bicycle -- distinguished from a motor bicycle vb. (context AU NZ UK English) to travel by pedal cycle

WordNet
push-bike

n. a bicycle that must be pedaled

Usage examples of "push-bike".

A little further on a solitary officer came pedalling by on what was obviously a borrowed or stolen civilian push-bike, while every half-mile or so there were stragglers who from wounds or weariness had not been able to keep up with their units but were still doggedly endeavouring to escape from the Germans.

Those alerted were arriving on air cushion, running as fast as they could and often faster than the basic push-bikes which had been developed for short-distance transportation.