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Two trains 165 m and 175 m long run at the speed of 50 km/h and 52 km/h respectively in opposite directions on parallel tracks. What is the time (in seconds) they take to cross each other?
  • a)
    9
  • b)
    9.6
  • c)
    10
  • d)
    12
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two trains 165 m and 175 m long run at the speed of 50 km/h and 52 km...
Relative speed = (50 + 52) km/h = (102 x 5/18) m/s = (255/9) m/s.
Distance covered in crossing each other = (165 + 175) = 340 m.
∴ Required time = (340 x 9/255) = 12 s.
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Most Upvoted Answer
Two trains 165 m and 175 m long run at the speed of 50 km/h and 52 km...
To find the time it takes for the two trains to cross each other, we need to consider their relative speed and the total distance they need to cover.

Given:
Length of the first train (A) = 165 m
Length of the second train (B) = 175 m
Speed of the first train = 50 km/h
Speed of the second train = 52 km/h

Step 1: Convert the speeds from km/h to m/s.
Speed of the first train = 50 km/h = (50 * 1000) / 3600 m/s = 50000 / 3600 m/s = 13.89 m/s
Speed of the second train = 52 km/h = (52 * 1000) / 3600 m/s = 52000 / 3600 m/s = 14.44 m/s

Step 2: Calculate the relative speed of the two trains.
Relative speed = Speed of first train + Speed of second train
Relative speed = 13.89 m/s + 14.44 m/s = 28.33 m/s

Step 3: Calculate the total distance the two trains need to cover to cross each other.
Total distance = Length of first train + Length of second train
Total distance = 165 m + 175 m = 340 m

Step 4: Calculate the time taken to cross each other.
Time = Distance / Relative speed
Time = 340 m / 28.33 m/s ≈ 12 seconds

Therefore, the two trains take approximately 12 seconds to cross each other.

Answer: Option D) 12
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Two trains 165 m and 175 m long run at the speed of 50 km/h and 52 km/h respectively in opposite directions on parallel tracks. What is the time (in seconds) they take to cross each other?a)9b)9.6c)10d)12Correct answer is option 'D'. Can you explain this answer?
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