A train of length 200 m is running at the speed of 60 km/hr. What is the time (in seconds) taken by the train to pass a man standing at the station?

Options

A. 12
B. 10
C. 11
D. 15

Answer

To solve the problem of how long it takes for a train of length 200 meters traveling at a speed of 60 km/hr to pass a man standing at the station, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Length of the train (Distance) = 200 meters
- Speed of the train = 60 km/hr

2. **Convert Speed from km/hr to m/s:**
- To convert km/hr to m/s, we use the conversion factor:
\[ 1 \text{ km/hr} = \frac{5}{18} \text{ m/s} \]
- Therefore,
\[ 60 \text{ km/hr} = 60 \times \frac{5}{18} \text{ m/s} \]
- Calculating this gives:
\[ 60 \times \frac{5}{18} = \frac{300}{18} = 16.67 \text{ m/s} \text{ (approximately)} \]

3. **Use the Formula for Time:**
- The formula for time when distance and speed are known is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
- In this case, the distance is the length of the train (200 m) and the speed is 16.67 m/s.
- Plugging in the values:
\[ \text{Time} = \frac{200 \text{ m}}{16.67 \text{ m/s}} \approx 12 \text{ seconds} \]

4. **Conclusion:**
- The time taken by the train to pass the man standing at the station is approximately 12 seconds.

### Final Answer:
The time taken by the train to pass the man is **12 seconds**.