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Find the time taken by 200m long train, travelling at 81 kmph to cross a man travelling at 9 kmph in the same direction ?Report Question
  • a)
    15 sec
  • b)
    10 sec
  • c)
    20 sec
  • d)
    25 sec
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the time taken by 200m long train, travelling at 81 kmph to cross...
Relative speed = 81-9 = 72 kmph = 72*(5/18) = 20 m/s
Time = distance/speed = 200/20 = 10 sec
So the answer is option B.
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Most Upvoted Answer
Find the time taken by 200m long train, travelling at 81 kmph to cross...
Given information:
Length of the train (l) = 200 m
Speed of the train (s1) = 81 kmph
Speed of the man (s2) = 9 kmph

To find: Time taken by the train to cross the man in the same direction

Approach:
When a train crosses a man in the same direction, the effective speed of the train is the difference between the speeds of the train and the man.

Effective speed (s) = (s1 - s2) = (81 - 9) kmph = 72 kmph

We need to convert the speed to meters per second (m/s) as the length of the train is given in meters.

Speed (s) = 72 kmph = (72 * 1000) / (60 * 60) m/s = 20 m/s

Time taken (t) = Distance / Speed

Distance = Length of the train = 200 m

t = 200 / 20 = 10 seconds

Therefore, the time taken by the 200 m long train, travelling at 81 kmph to cross a man travelling at 9 kmph in the same direction is 10 seconds.

Answer: Option (B) 10 sec
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Find the time taken by 200m long train, travelling at 81 kmph to cross a man travelling at 9 kmph in the same direction ?Report Questiona)15 secb)10 secc)20 secd)25 secCorrect answer is option 'B'. Can you explain this answer?
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