A train running at 120 km.hr crosses a pole in 9 seconds. What is the length of the train?

Options

A. 240 m
B. 300 m
C. 360 m
D. 600 m

Answer

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

**Distance = Speed × Time**

### Step 1: Convert the speed from km/hr to m/s
The speed of the train is given as 120 km/hr. To convert this to meters per second (m/s), we use the conversion factor:

\[ \text{Speed in m/s} = \text{Speed in km/hr} \times \frac{5}{18} \]

So, we calculate:

\[ \text{Speed in m/s} = 120 \times \frac{5}{18} \]

### Step 2: Calculate the speed in m/s
Now, we perform the multiplication:

\[ \text{Speed in m/s} = 120 \times \frac{5}{18} = \frac{600}{18} = 33.33 \text{ m/s} \text{ (approximately)} \]

### Step 3: Use the time given in the problem
The time taken to cross the pole is given as 9 seconds.

### Step 4: Calculate the distance (length of the train)
Now, we can use the distance formula:

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

Substituting the values we have:

\[ \text{Distance} = 33.33 \text{ m/s} \times 9 \text{ s} \]

### Step 5: Perform the multiplication
Calculating the distance:

\[ \text{Distance} = 33.33 \times 9 = 300 \text{ meters} \]

Thus, the length of the train is **300 meters**.

### Final Answer:
The length of the train is **300 meters**.

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