A train crosses an electric pole in 18 sec. If speed of train is 75 km/hr. Find the length of train.

Options

A. 400 m
B. 275 m
C. 300 m
D. 375 m

Answer

To find the length of the train that crosses an electric pole in 18 seconds at a speed of 75 km/hr, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Speed of the train = 75 km/hr
- Time taken to cross the electric pole = 18 seconds

2. **Convert the speed from km/hr to m/s**:
- To convert km/hr to m/s, we use the conversion factor \( \frac{5}{18} \).
- Speed in m/s = \( 75 \times \frac{5}{18} \)

\[ \text{Speed in m/s} = 75 \times \frac{5}{18} = \frac{375}{18} \approx 20.83 \text{ m/s} \]

3. **Use the formula for distance**:
- The formula relating speed, distance, and time is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
- Here, the distance is the length of the train, speed is in m/s, and time is in seconds.

4. **Calculate the length of the train**:
- Substitute the values into the formula:
\[ \text{Length of the train} = \text{Speed} \times \text{Time} \]
\[ \text{Length of the train} = 20.83 \text{ m/s} \times 18 \text{ s} \]

\[ \text{Length of the train} = 375 \text{ meters} \]

5. **Final Answer**:
- The length of the train is **375 meters**.