on time vs rapidly

on time

adj

  • Punctual or according to schedule. 

prep

  • By installments, payments over a period of time. 

  • By a player's running out of time. 

  • Punctually or according to the schedule. 

rapidly

adv

  • With speed; in a rapid manner. 

How often have the words on time and rapidly occurred in a corpus of books? (source: Google Ngram Viewer )