1.
If you draw on or draw upon something such as your skill or experience, you make use of it in order to do something.
He drew on his experience as a yachtsman to make a documentary programme.
PHRASAL VERB : V P n
2.
As a period of time draws on , it passes and the end of it gets closer.
As the afternoon drew on we were joined by more of the regulars.
= wear on
PHRASAL VERB : V P