The ratio of the numerical values of the average velocity and average speed of a body is always.

Options

A. Always less than `1`
B. Always ewual to `1`
C. Always more than `1`
D. Equal to or less than `1`

Explanation

To solve the question regarding the ratio of the numerical values of average velocity and average speed of a body, we can follow these steps:

### Step-by-Step Solution:

1. **Define Average Velocity and Average Speed:**
- Average velocity (\( V_{avg} \)) is defined as the total displacement divided by the total time taken:
\[ V_{avg} = \frac{\text{Total Displacement}}{\text{Total Time}} \]
- Average speed (\( S_{avg} \)) is defined as the total distance traveled divided by the total time taken:
\[ S_{avg} = \frac{\text{Total Distance}}{\text{Total Time}} \]

2. **Understand the Relationship between Distance and Displacement:**
- Displacement is the shortest straight-line distance from the initial position to the final position, while distance is the total path length traveled.
- It is important to note that the total distance traveled is always greater than or equal to the magnitude of the total displacement:
\[ \text{Total Distance} \geq \text{Total Displacement} \]

3. **Express the Ratio of Average Velocity to Average Speed:**
- We can express the ratio of average velocity to average speed as follows:
\[ \frac{V_{avg}}{S_{avg}} = \frac{\frac{\text{Total Displacement}}{\text{Total Time}}}{\frac{\text{Total Distance}}{\text{Total Time}}} \]
- This simplifies to:
\[ \frac{V_{avg}}{S_{avg}} = \frac{\text{Total Displacement}}{\text{Total Distance}} \]

4. **Analyze the Ratio:**
- Since we established that the total distance is greater than or equal to the total displacement, we can conclude:
\[ \frac{\text{Total Displacement}}{\text{Total Distance}} \leq 1 \]
- Therefore, the ratio of average velocity to average speed is always less than or equal to 1:
\[ \frac{V_{avg}}{S_{avg}} \leq 1 \]

5. **Conclusion:**
- The ratio of the numerical values of the average velocity and average speed of a body is always less than or equal to 1.

### Final Answer:
The ratio of the numerical values of the average velocity and average speed of a body is always less than or equal to 1.