Multiple choice

A train 'B' speeding with 100 kmph crosses another train C, running in the same direction, in 2 min. If the length of the trains B and C respectively be 150 m and 250 m, what is the speed of the train C (in kmph)?

  1. 75

  2. 88

  3. 95

  4. 110
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = (150+250)m / 120s = 400/120 = 10/3 m/s = 12 kmph. Since they are in the same direction, Vb - Vc = 12. 100 - Vc = 12, Vc = 88 kmph.

AI explanation

The relative speed formula for trains moving in the same direction is the difference of their speeds. The total distance to cross is the sum of their lengths, giving 400 meters. Since they cross in 120 seconds, the relative speed is 400 divided by 120, which equals 10/3 meters per second. Converting this to kilometers per hour gives a relative speed of 12 km/hr, so the speed of train C is 100 minus 12, resulting in 88 kmph.

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