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Two trains are travelling in same direction with 60 km/hr and 75 km/hr respectively. The faster train crosses a man sitting in the slower train in 30 sec. find the length of faster train.
  • a)
    100 meter
  • b)
    125 meter
  • c)
    140 meter
  • d)
    150 meter
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two trains are travelling in same direction with 60 km/hr and 75 km/hr...
L = 15*5/18*30 = 125 meter
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Most Upvoted Answer
Two trains are travelling in same direction with 60 km/hr and 75 km/hr...
Given:
Speed of the slower train = 60 km/hr
Speed of the faster train = 75 km/hr
Time taken to cross a man by the faster train = 30 sec

To find:
Length of the faster train

Explanation:
1. Let's assume the length of the faster train as 'l' meters.
2. Relative speed between the two trains = (75 - 60) km/hr = 15 km/hr = (15 x 5/18) m/sec = 25/6 m/sec
3. As the faster train crosses a man in the slower train, the relative speed will be effective only for the distance covered by the faster train i.e. the length of the faster train.
4. Therefore, we can use the formula:
Distance = Speed x Time
Distance covered by the faster train in 30 sec = Relative speed x Time
l = (25/6) x 30
l = 125 meters

Therefore, the length of the faster train is 125 meters.

Final Answer:
Option (b) 125 meters
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