04:15 Here's the reasoning: 1. The clock shows 3:45, but it's 15 minutes slow. So, the actual time is 3:45 + 15 minutes = 4:00 hours. 2. Now, the text mentions that "the actual time is a quarter past an hour." Since we already adjusted the time to 4:00 hours, we now need to add 15 minutes (a quarter of an hour) to this time. 3. The final correct time is 4:00 + 0:15 = 04:15 hours. Hence, the answer is 04:15.