Multiple choice

A train, 180 m long, is running at 70 kmph. In what time will it cross a 220 m long train travelling at the speed of 50 kmph in opposite direction?

  1. 12 sec

  2. 10 sec

  3. 9 sec

  4. 15 sec

  5. None of the above
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A Correct answer
Explanation

Relative speed = 70 + 50 = 120 kmph = 120 * (5/18) m/s = 100/3 m/s. Total distance = 180 + 220 = 400 m. Time = Distance / Speed = 400 / (100/3) = 12 seconds.

AI explanation

When two objects move in opposite directions, their relative speed is the sum of their individual speeds: 70 kmph + 50 kmph = 120 kmph. Converting this to meters per second gives 120 multiplied by 5/18, resulting in 100/3 m/s. The total distance to be covered is the sum of the lengths of both trains: 180 m + 220 m = 400 m. Using the time formula, time equals distance divided by speed: 400 divided by 100/3 gives 12 seconds.

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