Based on the information given: - The clock shows 3:45 - The clock is 15 minutes slow - The actual time is a quarter past an hour Let's solve this step by step: 1. First, let's assume the clock is running fast. If it showed 3:45 but was actually 15 minutes faster, the real time would be 3:30 (45 mins - 15 mins). 2. However, we are told the clock is actually slow by 15 minutes. So the real time would be 15 minutes faster than 3:45. 3. 3:45 + 15 minutes = 4:00 (Four in the afternoon) 4. We are also told that the real time is "a quarter past an hour". A quarter is 15 minutes. 5. If the time is a quarter past 4 (4:00), then 4:00 + 15 minutes = 4:15 Therefore, the actual time based on the information provided is 4:15, which in HH:MM format is: 4:15