A 220 m long train passes a signal post in 12 s. Find the speed of the train.

Options

A. 72 km/h
B. 60 km/h
C. 66 km/h
D. 69 km/h

Answer

To find the speed of a train that is 220 meters long and passes a signal post in 12 seconds, we can follow these steps:

### Step 1: Identify the distance and time
- The length of the train is given as **220 meters**.
- The time taken to pass the signal post is **12 seconds**.

### Step 2: Use the formula for speed
- 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 **220 meters** and the time is **12 seconds**. Substituting these values gives:
\[ \text{Speed} = \frac{220 \text{ meters}}{12 \text{ seconds}} \]

### Step 4: Calculate the speed in meters per second
- Performing the division:
\[ \text{Speed} = \frac{220}{12} \approx 18.33 \text{ meters per second} \]

### Step 5: Convert the speed to kilometers per hour
- To convert from meters per second to kilometers per hour, we use the conversion factor \(1 \text{ m/s} = 3.6 \text{ km/h}\):
\[ \text{Speed in km/h} = 18.33 \times 3.6 \approx 66 \text{ km/h} \]

### Final Answer
- The speed of the train is approximately **66 kilometers per hour**.

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