A watch shows time as `3:25` when seen through a mirror, time appeared will be

Options

A. `8 : 35`
B. `9 : 35`
C. `7 : 35`
D. `8 : 25`

Answer

To find the time shown on a watch when viewed in a mirror, we need to understand the concept of lateral inversion. Here’s a step-by-step solution:

### Step 1: Understand the given time
The watch shows the time as `3:25`.

### Step 2: Analyze the mirror image
When viewed in a mirror, the positions of the hour and minute hands will be inverted. This means that the left side of the watch will appear on the right side in the mirror, and vice versa.

### Step 3: Calculate the total minutes in a 12-hour format
To find the mirror image time, we can calculate the total minutes from 12:00 for the given time:
- The hour hand is at 3, which corresponds to 3 hours.
- The minute hand is at 25 minutes.

Total time in minutes from 12:00:
\[ \text{Total minutes} = (3 \times 60) + 25 = 180 + 25 = 205 \text{ minutes} \]

### Step 4: Calculate the mirror time
To find the mirror image time, we subtract the total minutes from 720 minutes (which is the total number of minutes in 12 hours):
\[ \text{Mirror time in minutes} = 720 - 205 = 515 \text{ minutes} \]

### Step 5: Convert the mirror time back to hours and minutes
Now, we convert 515 minutes back to hours and minutes:
- Divide by 60 to find hours:
\[ \text{Hours} = \frac{515}{60} = 8 \text{ hours} \quad \text{(with a remainder of 35 minutes)} \]
- The remainder gives us the minutes:
\[ \text{Minutes} = 515 - (8 \times 60) = 515 - 480 = 35 \text{ minutes} \]

### Step 6: Write the final answer
Thus, when viewed in a mirror, the time will appear as `8:35`.

### Final Answer:
The time appeared in the mirror will be **8:35**.

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