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A train-A crosses a stationary train-B in 36 sec. The same train-A crosses a man in 12 sec. If speed of train-A is 60 km/h, what is the length of stationary train-B (in metres)
  • a)
    400 m
  • b)
    300 m
  • c)
    500 m
  • d)
    250 m
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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A train-A crosses a stationary train-B in 36 sec. The same train-A cro...
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A train-A crosses a stationary train-B in 36 sec. The same train-A cro...

Given Data:
- Speed of train-A = 60 km/h
- Time taken to cross stationary train-B = 36 sec
- Time taken to cross a man = 12 sec

Calculating Length of Train-B:
- Let the length of train-B be 'x' meters
- Speed = Distance/Time

When crossing train-B:
- Relative speed = Speed of train-A + Speed of train-B
- Distance = Length of train-A + Length of train-B
- Time = 36 sec

When crossing a man:
- Relative speed = Speed of train-A
- Distance = Length of train-A + Length of the man
- Time = 12 sec

- Since the speed of train-A is the same in both cases, the distance covered will be proportional to the time taken.

Using the above information:
- 36/12 = (Length of train-A + Length of train-B) / (Length of train-A + Length of the man)
- 3 = (60 + x) / (60 + 0)
- 3 = (60 + x) / 60
- 180 = 60 + x
- x = 180 - 60
- x = 120 meters

Therefore, the length of the stationary train-B is 120 meters.

Final Answer:
- Option a) 400 m is incorrect.
- The correct answer is option a) 120 m.
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