【Analysis】Calculate the running time of the two trains separately, then find the difference, which will give the answer.
【Solution】Solution: $109 T$ operation: 24 hours - 19 hours 33 minutes + 10 hours 26 minutes = 14 hours 53 minutes,
1461 operation: 24 hours - 11 hours 58 minutes + 8 hours 1 minute = 20 hours 3 minutes,
20 hours 3 minutes - 14 hours 53 minutes = 5 hours 10 minutes,
Answer: The running time of these two trains differs by 5 hours and 10 minutes.
【Comment】To solve this problem, choose an appropriate method of calculation based on the characteristics of the time.
15. (15 points) Train $109 T$ departs from Beijing at 19:33 and arrives in Shanghai the next day at 10:26; Train 1461 departs from Beijing at 11:58 and arrives in Shanghai the next day at 8:01. Question: What is the difference in running time between these two trains in minutes?