Multiple choice

Two trains, having lengths 210 metres and 270 metres, are moving in the same direction with speeds of 46 km/hr and 54 km/hr, respectively. How long will the trains take to pass each other?

  1. 216 seconds

  2. 220 seconds

  3. 224 seconds

  4. 230 seconds

  5. None of these
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A Correct answer
Explanation

Relative speed = 54 - 46 = 8 km/hr = 8 * (5/18) m/s = 20/9 m/s. Total distance = 210 + 270 = 480 meters. Time = Distance / Speed = 480 / (20/9) = 480 * 9 / 20 = 24 * 9 = 216 seconds.

AI explanation

Since the trains move in the same direction, their relative speed is the difference between their speeds: 54 kmph minus 46 kmph equals 8 kmph. Converting this to m/s gives 8 * (5/18) = 20/9 m/s. The total distance to be covered to pass each other is 210 m + 270 m = 480 m, so the time taken is 480 divided by 20/9, which equals 216 seconds.

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