Final answer:
The handyman worked for 23 hours and 21 minutes from the start time of his job until he quit the following day.
Step-by-step explanation:
To find out how much time elapsed from when the handyman began the job to when he quit, we need to calculate the difference in time from 10:09 am on Wednesday to 9:30 am on Thursday. Starting at 10:09 am, if we consider the time until 10:09 am the next day, that would be exactly 24 hours. However, since he ended at 9:30 am, which is 39 minutes before 10:09 am, we need to subtract 39 minutes from the 24 hours.
Therefore, the time elapsed is:
- 24 hours - 39 minutes = 23 hours and 21 minutes
So, the handyman worked for 23 hours and 21 minutes before quitting.