Question

When seen through a mirror, a clock shows 3:30. what is the correct time .

• A. \( 2:30 \)
• B. \( 8:30 \)
• C. \( 5:30 \)
• D. \( 4:30 \)

Hint:

\textbf{Mirror Images of Clocks.} To find the actual time from a mirror image of a clock, subtract the given time from 11:60. This works for times between 1:00 and 11:59. For times like 12:xx, you might need to consider subtracting from 23:60 or visualizing the clock face.

Answer 1

The Correct Option is B

When a clock is seen through a mirror, the image shows lateral inversion. This means that the left and right sides are reversed. To find the actual time when the mirror image time is given, we can use the following approach: For times less than 12:00, subtract the given time from 11:60. Given mirror image time = 3:30 Actual time = 11:60 - 3:30 Subtract the minutes: \( 60 - 30 = 30 \) minutes. Subtract the hours: \( 11 - 3 = 8 \) hours. So, the actual time is 8:30. Alternatively, we can visualize the clock face. At 3:30, the minute hand is at 6. Its mirror image will also be at 6. At 3:30, the hour hand is halfway between 3 and (D) Its mirror image will be halfway between the mirror images of 3 and (D) The mirror image of 3 is 9, and the mirror image of 4 is 8. Halfway between 9 and 8 is 8:30. Therefore, the correct time is 8:30.