A 1250 m Long Train Covers a Distance of 1 km in 2 Minutes
This problem involves understanding the relationship between distance, time, and speed, and how to apply them to a moving train. Let's break it down:
Understanding the Problem
- Train Length: 1250 meters (This is important because the train takes time to fully pass a point)
- Distance Covered: 1 kilometer (which is 1000 meters)
- Time Taken: 2 minutes
The question we need to answer is: What is the speed of the train?
Calculating the Train's Speed
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Find the total distance the train travels: Since the train is 1250 meters long, and it covers 1 kilometer (1000 meters), the total distance traveled is 1000m + 1250m = 2250 meters.
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Convert time to seconds: 2 minutes * 60 seconds/minute = 120 seconds
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Calculate the speed: Speed = Distance / Time Speed = 2250 meters / 120 seconds Speed = 18.75 meters per second
Converting to Kilometers per Hour
To express the speed in a more commonly used unit, we can convert meters per second to kilometers per hour:
- 1 kilometer = 1000 meters
- 1 hour = 3600 seconds
Therefore: 18.75 meters/second * (1 kilometer/1000 meters) * (3600 seconds/1 hour) = 67.5 kilometers per hour
Conclusion
The train is traveling at a speed of 18.75 meters per second, or 67.5 kilometers per hour.
