A train `300 m` long is running at a uniform speed of `20` m/s, then the time taken by it to cross a platform of length `60 m` is _______.

Options

A. `16 s`
B. `18 s`
C. `15 s`
D. `17 s`

Answer

To solve the problem of how long it takes for a train to cross a platform, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Lengths**:
- Length of the train = 300 m
- Length of the platform = 60 m

2. **Calculate the Total Distance to be Covered**:
- The train must cover its own length plus the length of the platform to completely cross it.
- Total distance = Length of the train + Length of the platform
- Total distance = 300 m + 60 m = 360 m

3. **Determine the Speed of the Train**:
- The speed of the train is given as 20 m/s.

4. **Calculate the Time Taken to Cross the Platform**:
- Time can be calculated using the formula:
\[ \text{Time} = \frac{\text{Total Distance}}{\text{Speed}} \]
- Substitute the values:
\[ \text{Time} = \frac{360 \text{ m}}{20 \text{ m/s}} = 18 \text{ seconds} \]

5. **Final Answer**:
- The time taken by the train to cross the platform is **18 seconds**.