The wall clock takes 6 seconds to strike 4, how much time it will take to strike 12?

Options

A. 18 seconds
B. 20 seconds
C. 22 seconds
D. 24 seconds

Answer

To solve the problem of how long it takes for a wall clock to strike 12 when it takes 6 seconds to strike 4, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the intervals between strikes**:
When a clock strikes a number, it creates intervals between the strikes. For example, when the clock strikes 4, it strikes 1, 2, 3, and then 4. The intervals are between the strikes.

2. **Count the intervals for 4 o'clock**:
When the clock strikes 4, there are 3 intervals (between 1 and 2, 2 and 3, 3 and 4).

3. **Calculate the time per interval**:
Since it takes 6 seconds to strike 4, and there are 3 intervals, the time taken for each interval is:
\[ \text{Time per interval} = \frac{6 \text{ seconds}}{3 \text{ intervals}} = 2 \text{ seconds per interval} \]

4. **Count the intervals for 12 o'clock**:
When the clock strikes 12, there are 11 intervals (between 1 and 2, 2 and 3, ..., 11 and 12).

5. **Calculate the total time to strike 12**:
Using the time per interval calculated earlier, the total time taken to strike 12 is:
\[ \text{Total time} = 11 \text{ intervals} \times 2 \text{ seconds per interval} = 22 \text{ seconds} \]

### Final Answer:
The wall clock will take **22 seconds** to strike 12.

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