Multiple choice

A 180 m long train crosses another 270 m long train running in the opposite direction in 10.8 seconds. If the shorter train crosses a pole in 12 seconds, what is the speed of longer train?

  1. 98 km/hr

  2. 96 km/hr

  3. 90 km/hr

  4. 88 km/hr

  5. 78 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = (180+270) / 10.8 = 450 / 10.8 = 41.66 m/s. 41.66 * 18/5 = 150 km/hr. Shorter train (180m) crosses pole in 12s, so speed = 180/12 = 15 m/s = 54 km/hr. Longer train speed = 150 - 54 = 96 km/hr.

AI explanation

Using the formula speed equals distance divided by time, the speed of the shorter train is 180 divided by 12, which is 15 m/s. When moving in opposite directions, their combined speed equals the sum of their lengths divided by the crossing time: 450 divided by 10.8, giving 41.66 m/s. Subtracting the shorter train's speed gives the longer train's speed of 26.66 m/s. Converting to km/hr by multiplying by 3.6 gives 96 km/hr.

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