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A train takes 40 seconds to cross a cyclist travelling at a speed of 10 kmph in the opposite direction. Another train of same length and 50% faster speed takes 30 seconds to cross a man standing in a station. What is the length of the train?
  • a)
    1050 m
  • b)
    950 m
  • c)
    900 m
  • d)
    1000 m 
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A train takes 40 seconds to cross a cyclist travelling at a speed of 1...
Let the length of the trains be l.
Since the speed of 2nd train is 50% more, let the speeds of the 1st and 2nd train be 2x kmph and 3x kmph respectively.
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Most Upvoted Answer
A train takes 40 seconds to cross a cyclist travelling at a speed of 1...
Given data:
- Speed of the cyclist = 10 kmph
- Time taken to cross the cyclist = 40 seconds
- Speed of the second train = 50% faster than the first train
- Time taken to cross the man = 30 seconds

Calculating the length of the train:
- Let the length of the train be 'x' meters
- Speed of the first train = Speed of the cyclist + Speed of the train
- Speed of the first train = 10 + (x/40) kmph
- Speed of the second train = 1.5 * (10 + (x/40)) kmph (50% faster)
- Speed = Distance / Time
- x = 1000 meters
Therefore, the length of the train is 1000 meters. So, option 'D' is the correct answer.
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Community Answer
A train takes 40 seconds to cross a cyclist travelling at a speed of 1...
Let the length of the trains be l.
Since the speed of 2nd train is 50% more, let the speeds of the 1st and 2nd train be 2x kmph and 3x kmph respectively.
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Question Description
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