When a clock's reflection in a mirror shows the time as 1 hour 30 minutes,…

Concept:

For a clock's mirror image (its reflection in a vertical mirror placed facing the dial), the hour and minute hands appear reversed left-to-right. The actual time is recovered by subtracting the mirror-image reading from a fixed reference: 12:00, written as 11 hours 60 minutes when the given minutes are non-zero so the subtraction does not need borrowing.

Application:

1. The mirror-image reading given is 1 hour 30 minutes.

2. Since the minutes (30) are greater than 0, use the reference 11 hours 60 minutes (equivalent to 12:00).

3. Subtract the hours: 11 hours minus 1 hour = 10 hours.

4. Subtract the minutes: 60 minutes minus 30 minutes = 30 minutes.

5. Combine the results: 10 hours 30 minutes.

Cross-check:

Adding the mirror-image reading back to this result should return the reference constant: 10 hours 30 minutes + 1 hour 30 minutes = 11 hours 60 minutes = 12:00, confirming the subtraction is consistent.

Conclusion:

The actual time on the clock is 10 hours 30 minutes.