You worked from 8: 30 am to 2: 15pm with a 1/2 hour lunch break. how long did you work?

There are six hours between 8:00 and 2:00
Minus 30 minutes since he wasn't working at 8:00
And plus 15 because he worked 15 minutes after 2:00
So 5 hours 45 minutes
Then he had 30 minute lunch break which he wasn't working during that time
SO subtract 30 minutes from 5 hours 45 minutes
And he worked for 5hours 15 minutes