1. **State the problem:** Calculate the total hours worked given multiple time intervals. 2. **Approach:** For each time interval, subtract the start time from the end time to find the duration worked. 3. **Convert times to decimal hours:** - For example, 19:30 is 19.5 hours, 9:30 is 9.5 hours, 19:15 is 19.25 hours, etc. 4. **Calculate each interval's duration:** - 15-19.30 = 19.5 - 15 = $4.5$ hours - 15-19.30 = $4.5$ hours - 9.30-14 = 14 - 9.5 = $4.5$ hours - 15-19.15 = 19.25 - 15 = $4.25$ hours - 9.30-14 = $4.5$ hours - 15-19.10 = 19.1667 - 15 = $4.1667$ hours - 15-19 = 19 - 15 = $4$ hours - 9-11.30 = 11.5 - 9 = $2.5$ hours - 15-19 = $4$ hours - 15-19.10 = $4.1667$ hours - 8-10.30 = 10.5 - 8 = $2.5$ hours - 9.30-14 = $4.5$ hours - 15-19 = $4$ hours - 15-19.15 = $4.25$ hours - 11.05-13.45 = 13.75 - 11.0833 = $2.6667$ hours - 15-19.10 = $4.1667$ hours - 15-19.30 = $4.5$ hours - 15-19 = $4$ hours - 15-19.10 = $4.1667$ hours - 15-17.30 = 17.5 - 15 = $2.5$ hours - 15-19 = $4$ hours - 15-19.10 = $4.1667$ hours - 8.30-13 = 13 - 8.5 = $4.5$ hours - 10-12.30 = 12.5 - 10 = $2.5$ hours - 15-19 = $4$ hours - 9-14 = 14 - 9 = $5$ hours - 8-11.40 = 11.6667 - 8 = $3.6667$ hours - 10-16 = 16 - 10 = $6$ hours - 15-19.50 = 19.8333 - 15 = $4.8333$ hours - 9:45-11:30 = 11.5 - 9.75 = $1.75$ hours 5. **Sum all durations:** $$4.5 + 4.5 + 4.5 + 4.25 + 4.5 + 4.1667 + 4 + 2.5 + 4 + 4.1667 + 2.5 + 4.5 + 4 + 4.25 + 2.6667 + 4.1667 + 4.5 + 4 + 4.1667 + 2.5 + 4 + 4.1667 + 4.5 + 2.5 + 4 + 5 + 3.6667 + 6 + 4.8333 + 1.75 = 112.4167$$ 6. **Final answer:** Total hours worked is approximately $112.42$ hours.