A postman goes with a speed of 36 km/h what is the speed of postman in m/s?

Options

A. 4.5 m/s
B. 6 m/s
C. 10 m/s
D. can't be determined

Answer

To convert the speed of the postman from kilometers per hour (km/h) to meters per second (m/s), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Conversion Factors**:
- 1 kilometer = 1000 meters
- 1 hour = 3600 seconds

2. **Given Speed**:
- The speed of the postman is given as 36 km/h.

3. **Set Up the Conversion**:
- To convert km/h to m/s, we use the formula:
\[ \text{Speed in m/s} = \text{Speed in km/h} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ h}}{3600 \text{ s}} \]

4. **Substituting the Values**:
- Substitute the speed into the formula:
\[ \text{Speed in m/s} = 36 \times \frac{1000}{3600} \]

5. **Simplifying the Calculation**:
- First, simplify \(\frac{1000}{3600}\):
\[ \frac{1000}{3600} = \frac{10}{36} = \frac{5}{18} \]
- Now, multiply:
\[ \text{Speed in m/s} = 36 \times \frac{5}{18} \]

6. **Perform the Multiplication**:
- Calculate:
\[ 36 \times \frac{5}{18} = 36 \div 18 \times 5 = 2 \times 5 = 10 \]

7. **Final Answer**:
- Therefore, the speed of the postman in meters per second is:
\[ \text{Speed} = 10 \text{ m/s} \]