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Two trains 210 meters and 180 meters are running on parallel track at the speed of 72km/hr and 45km/hr respectively. The time taken by them to cross each other, if they are running in opposite direction?
  • a)
    8 sec
  • b)
    10 sec
  • c)
    12 sec
  • d)
    15 sec
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two trains 210 meters and 180 meters are running on parallel track at ...
210 + 180 = (72 + 45)*5/18*T, T = 12 seconds
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Two trains 210 meters and 180 meters are running on parallel track at ...

Approach:
We will first calculate the relative speed of the two trains when they are running in opposite directions. Then, we will use the formula Time = Distance/Speed to find the time taken by the trains to cross each other.

Calculations:
- Speed of the first train = 72 km/hr = 72 * 5/18 m/s = 20 m/s
- Speed of the second train = 45 km/hr = 45 * 5/18 m/s = 12.5 m/s

Relative Speed:
When two objects move in opposite directions, their relative speed is the sum of their individual speeds.
Relative speed = Speed of first train + Speed of second train
Relative speed = 20 m/s + 12.5 m/s = 32.5 m/s

Time taken to cross each other:
- Total distance to be covered = Sum of lengths of both trains = 210 m + 180 m = 390 m
- Time = Distance / Relative speed
- Time = 390 m / 32.5 m/s = 12 seconds

Therefore, the time taken by the two trains to cross each other when they are running in opposite directions is 12 seconds. Hence, the correct answer is option C.
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Community Answer
Two trains 210 meters and 180 meters are running on parallel track at ...
12 sec
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Two trains 210 meters and 180 meters are running on parallel track at the speed of 72km/hr and 45km/hr respectively. The time taken by them to cross each other, if they are running in opposite direction?a)8 secb)10 secc)12 secd)15 sece)None of theseCorrect answer is option 'C'. Can you explain this answer?
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