A train running with a speed of 60km/hr, crosses a telephone pole. If the length of train is 500 metre, what is the time taken (in seconds) by the train to cross the pole?

Options

A. 35
B. 40
C. 30
D. 32

Answer

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

### Step 1: Identify the given data
- Speed of the train = 60 km/hr
- Length of the train = 500 meters

### Step 2: Convert the speed from km/hr to m/s
To convert the speed from kilometers per hour to meters per second, we can use the conversion factor:
\[ 1 \text{ km/hr} = \frac{1000 \text{ meters}}{3600 \text{ seconds}} = \frac{1}{3.6} \text{ m/s} \]
So,
\[ \text{Speed in m/s} = 60 \text{ km/hr} \times \frac{1}{3.6} \approx 16.67 \text{ m/s} \]

### Step 3: Use the formula for time
The time taken to cross the pole can be calculated using the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Here, the distance is equal to the length of the train (500 meters), and the speed is now in meters per second (16.67 m/s).

### Step 4: Calculate the time
Substituting the values into the formula:
\[ \text{Time} = \frac{500 \text{ meters}}{16.67 \text{ m/s}} \]
Calculating this gives:
\[ \text{Time} \approx 30 \text{ seconds} \]

### Final Answer
The time taken by the train to cross the telephone pole is approximately **30 seconds**.

---