04:15 ___ Explanation: If the clock shows 3:45 and it is 15 minutes slow, we simply add 15 minutes to the displayed time to find the actual time. 15 minutes after 3:45 is 4:00. Since the actual time is a quarter past an hour (which is 15 minutes after the hour), we add another 15 minutes, arriving at 04:30. Therefore, the correct time is 04:30. To break it down: 1. The clock shows 3:45. 2. The clock is 15 minutes slow. 3. So we add 15 minutes to 3:45 to get the true time: 4:00. 4. The actual time is a quarter past an hour, which is 04:30. Thus, at the time of this example, the correct clock time is 04:30.