What is Busy ?
Busy is (adj) working on something, doing something He was busy mending the dishwasher. I was too busy to phone my aunt. The busiest time for shops is the week before Christmas. the line’s busy at the moment someone is using the phone line the street is busy a street is full of pedestrians and traffic (verb) to busy yourself with something to occupy yourself, to keep yourself busy doing something My sister likes to busy herself with the garden now she’s retired.
source: Easier English, Student Dictionary Upper Intermediate Level