A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Aptitude
Problems on Trains
Difficulty: Medium
Choose an option
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A300 m
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B270 m
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C250 m
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D230 m
Answer
Correct Answer: 270 m
Explanation
We are given the following:
- Speed of the goods train = 72 km/h
- Time taken to cross the platform = 26 seconds
- Length of the platform = 250 m
Step 1: Convert the speed from km/h to m/s We know: 1 km/h = (1000 / 3600) m/s Speed = 72 × (1000 / 3600) Speed = 72 × (5 / 18) Speed = 20 m/s
Step 2: Calculate the total distance covered while crossing the platform Formula: Distance = Speed × Time Distance = 20 m/s × 26 s Distance = 520 meters
Step 3: Subtract the length of the platform to find the length of the train Train Length = Total Distance - Platform Length Train Length = 520 m - 250 m Train Length = 270 meters
Final Answer: The length of the goods train is 270 meters