A train running with a speed of 9 km/hr, crosses a telephone pole. If the length of train is 360 meters, then what is the time taken (in seconds) by the train to cross the pole?

Options

A. 140
B. 125
C. 144
D. 150

Answer

To solve the problem of how long it takes for a train to cross a telephone pole, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values:**
- Speed of the train = 9 km/hr
- Length of the train = 360 meters

2. **Convert the speed from km/hr to m/s:**
- To convert km/hr to m/s, we use the conversion factor:
\[ \text{Speed in m/s} = \text{Speed in km/hr} \times \frac{5}{18} \]
- Therefore,
\[ \text{Speed in m/s} = 9 \times \frac{5}{18} = 2.5 \text{ m/s} \]

3. **Use the formula for time:**
- The formula to calculate time when distance and speed are known is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
- Here, the distance is the length of the train (360 meters) and the speed is 2.5 m/s.

4. **Calculate the time taken to cross the pole:**
- Plugging in the values:
\[ \text{Time} = \frac{360 \text{ meters}}{2.5 \text{ m/s}} = 144 \text{ seconds} \]

5. **Conclusion:**
- The time taken by the train to cross the telephone pole is 144 seconds.

### Final Answer:
The time taken by the train to cross the pole is **144 seconds**.

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