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A man is running beside a 280 m long train at a speed of 13 km/hr in the same direction. If the train is running at a speed of 85 km/hr, in how much time will the train cross the running man?
  • a)
    18 seconds
  • b)
    16 seconds
  • c)
    14 seconds
  • d)
    12 seconds
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A man is running beside a 280 m long train at a speed of 13 km/hr in t...
Speed of train relative to running man = speed of train – speed of running man
= 85 – 13 = 72 km/hr. = 72 × (5/18) = 20 m/sec
Distance to be covered = 280 m
∴ Time taken by train to cross the running man = 280/20 = 14 sec.
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Most Upvoted Answer
A man is running beside a 280 m long train at a speed of 13 km/hr in t...
To solve this problem, we need to first calculate the relative speed between the train and the man.

Given:
Length of the train = 280 m
Speed of the train = 85 km/hr
Speed of the man = 13 km/hr

Relative speed:
When two objects are moving in the same direction, their relative speed is the difference between their individual speeds. In this case, the relative speed between the train and the man is the speed of the train minus the speed of the man.

Relative speed = Speed of the train - Speed of the man
Relative speed = 85 km/hr - 13 km/hr
Relative speed = 72 km/hr

Converting relative speed from km/hr to m/s:
To calculate the time taken for the train to cross the man, we need to convert the relative speed from km/hr to m/s.

1 km/hr = 5/18 m/s
Relative speed = 72 km/hr * (5/18) m/s
Relative speed = 20 m/s

Now, we can calculate the time taken for the train to cross the man using the formula:

Time = Distance / Speed

Time taken = Length of the train / Relative speed
Time taken = 280 m / 20 m/s
Time taken = 14 seconds

Therefore, the train will cross the running man in 14 seconds. Hence, option C is the correct answer.
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A man is running beside a 280 m long train at a speed of 13 km/hr in the same direction. If the train is running at a speed of 85 km/hr, in how much time will the train cross the running man?a)18 secondsb)16 secondsc)14 secondsd)12 secondsCorrect answer is option 'C'. Can you explain this answer?
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A man is running beside a 280 m long train at a speed of 13 km/hr in the same direction. If the train is running at a speed of 85 km/hr, in how much time will the train cross the running man?a)18 secondsb)16 secondsc)14 secondsd)12 secondsCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A man is running beside a 280 m long train at a speed of 13 km/hr in the same direction. If the train is running at a speed of 85 km/hr, in how much time will the train cross the running man?a)18 secondsb)16 secondsc)14 secondsd)12 secondsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man is running beside a 280 m long train at a speed of 13 km/hr in the same direction. If the train is running at a speed of 85 km/hr, in how much time will the train cross the running man?a)18 secondsb)16 secondsc)14 secondsd)12 secondsCorrect answer is option 'C'. Can you explain this answer?.
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