A train 240 metres in length crosses a telegraph post in 16 seconds. The speed of the train is

Options

A. 50 km/hr
B. 52km/hr
C. 54km/hr
D. 56km/hr

Answer

To find the speed of the train, we can use the formula for speed, which is:

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

### Step-by-Step Solution:

1. **Identify the Distance and Time:**
- The length of the train (Distance, D) = 240 meters
- The time taken to cross the telegraph post (Time, T) = 16 seconds

2. **Calculate the Speed in Meters per Second:**
- Using the formula:
\[ \text{Speed} (S) = \frac{D}{T} = \frac{240 \text{ meters}}{16 \text{ seconds}} \]
- Performing the division:
\[ S = 15 \text{ meters/second} \]

3. **Convert Speed to Kilometers per Hour:**
- To convert meters per second to kilometers per hour, we use the conversion factor \( \frac{18}{5} \):
\[ \text{Speed in km/h} = S \times \frac{18}{5} \]
- Substituting the speed:
\[ \text{Speed in km/h} = 15 \times \frac{18}{5} \]

4. **Perform the Multiplication:**
- First, calculate \( 15 \times 18 = 270 \)
- Then divide by 5:
\[ \text{Speed in km/h} = \frac{270}{5} = 54 \text{ km/h} \]

### Final Answer:
The speed of the train is **54 km/h**.

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