Final answer:
After calculating the time worked for both periods (4h 15min and 4h 50min), Joseph worked a total of 9 hours and 5 minutes, which is not listed among the provided choices.
Step-by-step explanation:
To calculate how long Joseph worked, we need to subtract the start time from the end time for each of his two work periods, and then add those results together.
First work period:
11:50 A.M. - 7:35 A.M. = 4 hours and 15 minutes
Second work period:
5:05 P.M. - 12:15 P.M. = 4 hours and 50 minutes
Now, we add the durations of the two work periods together:
4 hours and 15 minutes + 4 hours and 50 minutes = 9 hours and 5 minutes.
Therefore, the answer is 9 hours and 5 minutes, which is not an option in the given choices. It appears there may be an error in the options provided.