Answer :
Final answer:
To find the actual current time from an analogue clock that runs backwards for an hour and shows a mirrored reflection, we need to reflect the given options and determine which one aligns with the clock's behavior. The actual current time would be option (d) 5:00 AM.
Explanation:
The question entails finding the actual current time on a special analogue clock that runs backwards during a certain hour. Given that two and a quarter hours ago, the clock showed a reflection that would correspond to an actual time, we need to determine what time it would be in reality. To tackle this, we consider the mirror reflection aspect where the positions of the hour and minute hands are swapped. Furthermore, since the clock runs backwards for an hour from 4 pm to 5 pm, we need to account for the time elapsed since it started running backwards.
Assuming the mirror reflection showed the current time, let us consider each option given:
- (a) 3:45 AM - The actual time two and a quarter hours before would be 1:30 AM, which when reflected would show as 10:30 AM, not a possible reflection for a time in the evening hours.
- (b) 4:15 AM - Again, reflecting the time two and a quarter hours before gives us 1:45 AM, which does not align with any evening hours.
- (c) 4:30 AM - Reflecting 2:00 AM does not provide a plausible evening reflection time.
- (d) 5:00 AM - The clock started running backwards at 4:00 PM, jumping to 5:00 PM, and two and a quarter hours later, it would show 2:45 PM. This reflection would indeed appear as 9:15 PM in a mirror reflection, pointing towards this being the correct answer.
Therefore, the actual current time would be 5:00 AM (option d).
