What is the correct time of the clock if the two hands of a clock show as 8:15 in the mirror?  a. 2:45           b.1:40       c.2:35   d.3:45

To determine the correct time of the clock if the two hands show as 8:15 in the mirror, we need to understand the reflection of the clock hands.

In a mirror, the reflection of the clock hands will appear as if they are reversed. So, we need to reverse the positions of the hour and minute hands to find the actual time.

In the given scenario, the hour hand is pointing at 8 and the minute hand is pointing at 3.

To reverse the positions, we swap the hour and minute values. Therefore, the reversed time is 3:8.

Now, we need to convert this reversed time to the actual time.

The hour hand moves 30 degrees in an hour, so for every hour, it moves 30/60 = 0.5 degrees per minute.

The minute hand moves 360 degrees in an hour, so for every minute, it moves 360/60 = 6 degrees per minute.

Since the reversed time is 3:8, the hour hand has moved 3 * 30 = 90 degrees and the minute hand has moved 8 * 6 = 48 degrees.

To find the actual time, we need to subtract these degrees from 360 degrees.

360 - 90 = 270 degrees for the hour hand. 360 - 48 = 312 degrees for the minute hand.

Now, we need to convert these degrees into the actual time.

The hour hand moves 30 degrees in an hour, so 270 degrees corresponds to 270/30 = 9 hours.

The minute hand moves 6 degrees in a minute, so 312 degrees corresponds to 312/6 = 52 minutes.

Therefore, the correct time of the clock is 9:52.

None of the given options (a. 2:45, b. 1:40, c. 2:35, d. 3:45) match the correct time of 9:52.