Multiple choice

A train crosses a 600 meter long platform in 50 seconds. It crosses another 900 metre long platform in 60 seconds. What are the length and speed of the train?

  1. 900 metres, 96 km/h

  2. 900 metres, 108 km/h

  3. 600 metres, 108 km/h

  4. 700 metres, 108 km/h
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let L = train length, S = speed. From first platform: L + 600 = S × 50. From second platform: L + 900 = S × 60. Subtracting gives 300 = 10S, so S = 30 m/s = 30 × 18/5 = 108 km/h. Substituting: L = 30 × 50 - 600 = 1500 - 600 = 900m. Verify: Option B gives length 900m, speed 108 km/h (30 m/s). Cross-check: 900+600=1500m at 30 m/s takes 50 seconds ✓; 900+900=1800m takes 60 seconds ✓

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