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A train crosses a platform 100 metres long in 60 seconds at a speed of 45 km per hour. The time taken by the train to cross an electric pole, is
(2011)
- a)8 seconds
- b)1 minute
- c)52 seconds
- d)Data inadequate
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A train crosses a platform 100 metres long in 60 seconds at a speed of...
Let the length of train = x metres
Distance covered in crossing the platform = (x + 100) m
or 2x + 200 = 1500 or x = 650
Now, time taken to cross the pole
Distance covered in crossing the platform = (x + 100) m
or 2x + 200 = 1500 or x = 650
Now, time taken to cross the pole
Most Upvoted Answer
A train crosses a platform 100 metres long in 60 seconds at a speed of...
Understanding the Problem
To find the time taken by the train to cross an electric pole, we first need to determine the length of the train using the information provided about it crossing a platform.
Given Data
- Length of the platform = 100 meters
- Time taken to cross the platform = 60 seconds
- Speed of the train = 45 km/h
Calculating the Speed in Meters per Second
To convert the speed from kilometers per hour to meters per second:
- Speed (m/s) = (Speed in km/h) × (1000 m / 1 km) × (1 hour / 3600 seconds)
- Speed = 45 × (1000 / 3600) = 12.5 m/s
Finding the Total Distance Covered
When the train crosses the platform, it covers a distance equal to the length of the train plus the length of the platform:
- Distance = Speed × Time
- Distance = 12.5 m/s × 60 s = 750 meters
Let L be the length of the train. Therefore:
- L + 100 = 750
- L = 750 - 100 = 650 meters
Time Taken to Cross an Electric Pole
When the train crosses an electric pole, it only needs to cover its own length (L):
- Time = Length of Train / Speed
- Time = 650 m / 12.5 m/s = 52 seconds
Conclusion
Thus, the time taken by the train to cross an electric pole is **52 seconds**. The correct answer is option 'C'.
To find the time taken by the train to cross an electric pole, we first need to determine the length of the train using the information provided about it crossing a platform.
Given Data
- Length of the platform = 100 meters
- Time taken to cross the platform = 60 seconds
- Speed of the train = 45 km/h
Calculating the Speed in Meters per Second
To convert the speed from kilometers per hour to meters per second:
- Speed (m/s) = (Speed in km/h) × (1000 m / 1 km) × (1 hour / 3600 seconds)
- Speed = 45 × (1000 / 3600) = 12.5 m/s
Finding the Total Distance Covered
When the train crosses the platform, it covers a distance equal to the length of the train plus the length of the platform:
- Distance = Speed × Time
- Distance = 12.5 m/s × 60 s = 750 meters
Let L be the length of the train. Therefore:
- L + 100 = 750
- L = 750 - 100 = 650 meters
Time Taken to Cross an Electric Pole
When the train crosses an electric pole, it only needs to cover its own length (L):
- Time = Length of Train / Speed
- Time = 650 m / 12.5 m/s = 52 seconds
Conclusion
Thus, the time taken by the train to cross an electric pole is **52 seconds**. The correct answer is option 'C'.
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A train crosses a platform 100 metres long in 60 seconds at a speed of 45 km per hour. The time taken by the train to cross anelectric pole, is(2011)a)8 secondsb)1 minutec)52 secondsd)Data inadequateCorrect answer is option 'C'. Can you explain this answer?
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