To find the length of the platform, we need to follow these steps:
1. Identify the information given:
- Length of the train: 100 meters
- Speed of the train: 20 meters per minute
- Time taken to cross the platform: 8 minutes
2. Calculate the total distance traveled by the train in the given time:
The formula to find the distance is:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
Substituting the given values:
[tex]\[
\text{Distance} = 20 \text{ meters per minute} \times 8 \text{ minutes}
\][/tex]
[tex]\[
\text{Distance} = 160 \text{ meters}
\][/tex]
3. Determine how much of this distance is due to the platform:
The total distance covered includes both the length of the train and the length of the platform. We need to subtract the length of the train from this total distance to find the length of the platform:
[tex]\[
\text{Length of the platform} = \text{Total distance} - \text{Length of the train}
\][/tex]
Substituting the given values:
[tex]\[
\text{Length of the platform} = 160 \text{ meters} - 100 \text{ meters}
\][/tex]
[tex]\[
\text{Length of the platform} = 60 \text{ meters}
\][/tex]
4. Conclusion:
The length of the platform is 60 meters.
Therefore, the correct answer is:
A. 60
