A 300 m long train crosses a pole in 15s. What is the speed of the train(in kmph)?

Answer

To find the speed of the train in kilometers per hour (km/h), we can follow these steps:

### Step 1: Identify the distance and time
The train is 300 meters long and it crosses a pole in 15 seconds.

### Step 2: Use the speed formula
The formula for speed is given by:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

### Step 3: Substitute the values into the formula
Here, the distance is 300 meters and the time is 15 seconds. So we can substitute these values into the formula:

\[ \text{Speed} = \frac{300 \text{ meters}}{15 \text{ seconds}} \]

### Step 4: Calculate the speed in meters per second
Now, we perform the division:

\[ \text{Speed} = \frac{300}{15} = 20 \text{ meters/second} \]

### Step 5: Convert the speed to kilometers per hour
To convert meters per second to kilometers per hour, we use the conversion factor:

\[ \text{Speed in km/h} = \text{Speed in m/s} \times \frac{3600 \text{ seconds}}{1000 \text{ meters}} \]

Substituting the speed we found:

\[ \text{Speed in km/h} = 20 \text{ m/s} \times \frac{3600}{1000} \]

### Step 6: Simplify the conversion
Calculating this gives:

\[ \text{Speed in km/h} = 20 \times 3.6 = 72 \text{ km/h} \]

### Final Answer
The speed of the train is **72 km/h**.

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