Multiple choice

Two trains of lengths 580 m and 620 m are running on parallel lines. The speed of the first train is 70 kmph and the speed of the second train is 74 kmph. How long will they take to cross each other if they are moving in opposite directions?

  1. 50 seconds

  2. 30 seconds

  3. 26 seconds

  4. 45 seconds

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The relative speed of the trains moving in opposite directions is 70 + 74 = 144 km/hr. Converting to m/s: 144 * (5/18) = 40 m/s. The total distance to cover is 580 + 620 = 1200 m. Time = distance / speed = 1200 / 40 = 30 seconds.

AI explanation

When two trains move in opposite directions, their relative speed is the sum of their individual speeds, so the relative speed is 70 + 74 = 144 kmph. Converting this to metres per second gives 144 multiplied by 5/18, which equals 40 m/s. The total distance to be covered is the sum of their lengths, 580 + 620 = 1200 m. The time taken is distance divided by speed, 1200 / 40 = 30 seconds.

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