Speed in kilometer per hour in S.I. unit is represented as

Options

A. KMPH
B. `Kmhr^(-1)`
C. `Kmh^(-1)`
D. kilometer/hour

Answer

To solve the question about how speed in kilometers per hour is represented in SI units, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Units**:
- Speed is defined as the distance traveled per unit of time. In this case, the distance is measured in kilometers (km) and the time is measured in hours (hr).

2. **Convert the Units to SI Units**:
- The SI unit for distance is meters (m), and the SI unit for time is seconds (s). Therefore, we need to convert kilometers to meters and hours to seconds.
- 1 kilometer = 1000 meters
- 1 hour = 3600 seconds

3. **Express Speed in SI Units**:
- Speed in kilometers per hour (km/hr) can be converted to meters per second (m/s) using the conversions:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{1000 \text{ m}}{3600 \text{ s}} \]

4. **Simplify the Expression**:
- Now, we can simplify the fraction:
\[ \text{Speed} = \frac{1000}{3600} \text{ m/s} \]
- This can be further simplified to:
\[ \text{Speed} = \frac{5}{18} \text{ m/s} \]

5. **Final Representation**:
- Thus, speed in kilometers per hour can be represented in SI units as meters per second (m/s).

### Conclusion:
The speed in kilometers per hour in SI unit is represented as meters per second (m/s).