When viewing an analog clock in a mirror, the image is horizontally flipped. The mirror image and actual time are symmetric about the vertical 12-6 axis.
The mirror image shows 8:10.
To find the actual time from a mirror image, use the formula:
Actual time = 11:60 - Mirror image time
Substituting the mirror image time of 8:10:
Actual time = 11:60 - 8:10
=11:60−8:10
=3:50
At the actual time of 3:50:
- The minute hand points at 10 (representing 50 minutes)
- The hour hand is near 4
In the mirror, these positions flip horizontally:
- The minute hand at position 10 appears at position 2 (representing 10 minutes)
- The hour hand near 4 appears near 8
This gives the mirror image of 8:10, confirming our answer.
Therefore, the actual time is 3:50.