High School

Two and a quarter hours ago, when viewed in a mirror, the reflection of a wall clock without number markings appeared to show 6:00. What is the actual current time shown by the clock?

A) 6:15
B) 9:45
C) 12:30
D) 3:00

Answer :

Final answer:

When the reflection shows 9:45, the actual time, considering the mirror effect, is symmetrically opposite, which is 3:00 on the clock. D) 3:00

Explanation:

When an analog clock is observed in a mirror, the image appears reversed horizontally. If the reflection of the clock without number markings shows 9:45, it means that the actual time is symmetrically opposite to the reflection. So, two and a quarter hours before 9:45 is 7:15. Then, accounting for the reflection, the actual time is 3:00.

The process involves subtracting the given time from 12:00 to find the time without markings. In this case, subtracting 2 hours and 15 minutes from 12:00 yields 9:45. Since this time is reflected in the mirror, we find the symmetrical time on the opposite side of the clock face, which is 3:00. Therefore, the actual current time shown by the clock is 3:00.
Thus the correct answer is option D) 3:00.