A train 156 m long passes a telegraph pole in 13 seconds find the speed of the train in km/hr.

Answer

To find the speed of the train in km/hr, we can follow these steps:

### Step 1: Identify the distance and time
The length of the train is given as 156 meters, and the time taken to pass the telegraph pole is 13 seconds.

### Step 2: Use the formula for speed
The formula for speed is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Substituting the values we have:
\[ \text{Speed} = \frac{156 \text{ m}}{13 \text{ s}} \]

### Step 3: Calculate the speed in meters per second
Now, we perform the division:
\[ \text{Speed} = \frac{156}{13} = 12 \text{ m/s} \]

### Step 4: Convert the speed to kilometers per hour
To convert from meters per second to kilometers per hour, we use the conversion factors:
- 1 km = 1000 m
- 1 hour = 3600 seconds

The conversion from m/s to km/hr is done by multiplying by \(\frac{3600}{1000}\):
\[ \text{Speed in km/hr} = 12 \text{ m/s} \times \frac{3600 \text{ s}}{1000 \text{ m}} \]

### Step 5: Simplify the calculation
Now, we can simplify:
\[ \text{Speed in km/hr} = 12 \times \frac{3600}{1000} = 12 \times 3.6 \]
Calculating this gives:
\[ \text{Speed in km/hr} = 43.2 \text{ km/hr} \]

### Final Answer
The speed of the train is **43.2 km/hr**.

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