Speed of the train is 60 km/h, then find the speed of m/s.

Options

A. `16.67 m//s`
B. `18.25 m//s`
C. 17 m/s
D. None of these

Answer

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

### Step-by-Step Solution:

1. **Identify the given speed**:
The speed of the train is given as 60 km/h.

2. **Understand the conversion factors**:
- 1 kilometer = 1000 meters
- 1 hour = 3600 seconds

3. **Set up the conversion**:
To convert km/h to m/s, use the formula:
\[ \text{Speed in m/s} = \text{Speed in km/h} \times \frac{1000 \text{ meters}}{1 \text{ kilometer}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} \]

4. **Substitute the values**:
\[ \text{Speed in m/s} = 60 \times \frac{1000}{3600} \]

5. **Simplify the fraction**:
\[ \frac{1000}{3600} = \frac{10}{36} = \frac{5}{18} \]
Therefore, the equation becomes:
\[ \text{Speed in m/s} = 60 \times \frac{5}{18} \]

6. **Calculate the speed**:
\[ \text{Speed in m/s} = \frac{60 \times 5}{18} = \frac{300}{18} = 16.67 \text{ m/s} \]

### Final Answer:
The speed of the train in meters per second is **16.67 m/s**.

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