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Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

Difficulty: Easy

Correct Answer: 10.80 s

Explanation:

Given Data

  • Train lengths = 140 m and 160 m
  • Speeds = 60 km/hr and 40 km/hr
  • Opposite directions
  • Required: time to cross each other

Step 1: Relative speed and distance
vrel = 60 + 40 = 100 km/hr = 100 × (5/18) = 27.7778 m/sDistance = 140 + 160 = 300 m


Step 2: Time
t = 300 ÷ 27.7778 = 10.80 s (rounded to 2 decimals)


Checks & Common Pitfalls

  • Use the sum of speeds for opposite directions.
  • Keep units consistent before dividing.

Final Answer
They take 10.80 s to cross.

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