There are 20 poles with a constant distance between each pole. A car takes 24 seconds to reach the 12th pole. How much time will it take to reach the last pole ?

Options

A. 25.25 s
B. 17.45 s
C. 35.75 s
D. 41.45 s

Answer

To solve the problem step by step, we will use the information given about the car's travel time to determine how long it will take to reach the last pole.

### Step-by-Step Solution:

1. **Identify the number of poles and the distance between them**:
- There are 20 poles in total, and the distance between each pole is constant.

2. **Determine the time taken to reach the 12th pole**:
- The car takes 24 seconds to reach the 12th pole.

3. **Calculate the number of poles crossed**:
- The car starts from the 1st pole and reaches the 12th pole. Therefore, it has crossed 11 poles (from 1 to 12).

4. **Calculate the time taken per pole**:
- Since the car takes 24 seconds to cross 11 poles, we can find the time taken to cross one pole:
\[ \text{Time per pole} = \frac{24 \text{ seconds}}{11 \text{ poles}} \approx 2.18 \text{ seconds per pole} \]

5. **Calculate the number of poles to the last pole**:
- To reach the last (20th) pole, the car needs to cross 19 poles (from the 1st pole to the 20th pole).

6. **Calculate the total time to reach the last pole**:
- The total time to reach the last pole can be calculated as:
\[ \text{Total time} = \text{Time per pole} \times \text{Number of poles to cross} \]
\[ \text{Total time} = 2.18 \text{ seconds/pole} \times 19 \text{ poles} \approx 41.45 \text{ seconds} \]

### Final Answer:
Thus, the time taken to reach the last pole is approximately **41.45 seconds**.

---