A train is movingat the speed of 20 ms. If the length oftrain is 540 metres, then how much time will it take to cross a pole?

Options

A. 108 seconds
B. 81 seconds
C. 27 seconds
D. 54 seconds

Answer

To solve the problem of how much time a train takes to cross a pole, we can follow these steps:

### Step 1: Understand the problem
The train is moving at a speed of 20 meters per second, and the length of the train is 540 meters. When the train crosses a pole, it must cover a distance equal to its own length.

### Step 2: Identify the formula
We will use the formula for speed, which is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
From this, we can rearrange the formula to find time:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

### Step 3: Plug in the values
Here, the distance is the length of the train (540 meters) and the speed is 20 meters per second. Substituting these values into the formula gives us:
\[ \text{Time} = \frac{540 \text{ meters}}{20 \text{ meters/second}} \]

### Step 4: Calculate the time
Now, performing the division:
\[ \text{Time} = \frac{540}{20} = 27 \text{ seconds} \]

### Step 5: Conclusion
Thus, the time taken by the train to cross the pole is 27 seconds.