By looking in a mirror, it appears that it is 6:05 on an analog clock. What is the actual time?

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

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Given that the mirror shows 6:05:

Actual time = 11:60 - 6:05

Actual time = 5:55

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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.