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Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:

Difficulty: Medium

Correct Answer: 36 km/hr

Explanation:

Given Data

  • Two trains in opposite directions with the same speed
  • Each train length = 120 m
  • They cross completely in 12 s
  • Required: speed of each train (km/hr)

Step 1: Use relative speed and distance
Let each speed = v m/s ⇒ relative speed = 2v m/s.Total distance to cross = 120 + 120 = 240 m.12 = 240 ÷ (2v) ⇒ 2v = 20 ⇒ v = 10 m/s


Step 2: Convert to km/hr
10 × (18/5) = 36 km/hr


Checks & Common Pitfalls

  • Opposite directions ⇒ add speeds.
  • Crossing requires sum of lengths.

Final Answer
Each train's speed is 36 km/hr.

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