When viewing a clock in a mirror, the image is horizontally flipped. The relationship between the mirror time and actual time can be found using the symmetry of the clock face.
For a clock reflected in a mirror, the actual time can be calculated as:
Actual time = 11:60 - Mirror time
Given that the mirror shows 6:05:
Actual time = 11:60 - 6:05
Actual time = 5:55
To verify this makes sense:
At 5:55 actual time:
- The minute hand points to 11 (55 minutes)
- The hour hand is almost at 6
When reflected in a mirror:
- Position 11 on the clock face appears at position 1 (symmetric about the vertical line through 12-6)
- The hour hand near 6 remains near 6 (since 6 is on the line of symmetry)
This creates the mirror image of approximately 6:05 ✓
Therefore, the actual time is 5:55.