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A train crosses a platform in 30 seconds traveling with a speed of 60 km/h.If the length of the train is 200 meters, then the length ( in meters) of the platform is :
- a)500
- b)400
- c)300
- d)200
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A train crosses a platform in 30 seconds traveling with a speed of 60 ...
Given, Speed of the train = 60 km/h
= (60000/3600) m/sec
= (50/3) m/sec
∴ Length covered by the train when cross the platform = (50/3) × 30 m
= 500 m
∴ 500 = Length of the train + Length of the platform
⇒ Length of the platform = 500 - Length of the train
⇒ Length of the platform = 500 – 200
= 300 m
Most Upvoted Answer
A train crosses a platform in 30 seconds traveling with a speed of 60 ...
Understanding the Problem
To find the length of the platform, we need to analyze the information given:
- Speed of the train = 60 km/h
- Time to cross the platform = 30 seconds
- Length of the train = 200 meters
Converting Speed
First, convert the speed of the train from km/h to m/s:
- Speed in m/s = (Speed in km/h × 1000) / 3600
- Speed = (60 × 1000) / 3600 = 16.67 m/s (approximately)
Calculating Distance Covered
Next, we need to find the total distance the train travels while crossing the platform. The distance can be calculated using the formula:
- Distance = Speed × Time
Substituting the values:
- Distance = 16.67 m/s × 30 seconds = 500 meters
Finding the Length of the Platform
The distance covered while crossing the platform includes the length of the train and the length of the platform:
- Total Distance = Length of Train + Length of Platform
- 500 meters = 200 meters + Length of Platform
Now, solving for the length of the platform:
- Length of Platform = 500 meters - 200 meters = 300 meters
Conclusion
Thus, the length of the platform is 300 meters, making option 'C' the correct answer.
To find the length of the platform, we need to analyze the information given:
- Speed of the train = 60 km/h
- Time to cross the platform = 30 seconds
- Length of the train = 200 meters
Converting Speed
First, convert the speed of the train from km/h to m/s:
- Speed in m/s = (Speed in km/h × 1000) / 3600
- Speed = (60 × 1000) / 3600 = 16.67 m/s (approximately)
Calculating Distance Covered
Next, we need to find the total distance the train travels while crossing the platform. The distance can be calculated using the formula:
- Distance = Speed × Time
Substituting the values:
- Distance = 16.67 m/s × 30 seconds = 500 meters
Finding the Length of the Platform
The distance covered while crossing the platform includes the length of the train and the length of the platform:
- Total Distance = Length of Train + Length of Platform
- 500 meters = 200 meters + Length of Platform
Now, solving for the length of the platform:
- Length of Platform = 500 meters - 200 meters = 300 meters
Conclusion
Thus, the length of the platform is 300 meters, making option 'C' the correct answer.
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A train crosses a platform in 30 seconds traveling with a speed of 60 km/h.If the length of the train is 200 meters, then the length ( in meters) of the platform is :a)500b)400c)300d)200Correct answer is option 'C'. Can you explain this answer?
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