A goods train runs at the speed of 54 kmph and crosses a 24o m long platform…

2024

A goods train runs at the speed of 54 kmph and crosses a 24o m long platform in 30 seconds. What is the length of the goods train?

  1. A.

    150 m

  2. B.

    200 m

  3. C.

    250 m

  4. D.

    300 m

Attempted by 14 students.

Show answer & explanation

Correct answer: B

Solution:

  1. Convert speed to metres per second: 54 km/h = 54 × 5/18 = 15 m/s.

  2. Distance covered in 30 s = speed × time = 15 m/s × 30 s = 450 m.

  3. If the platform length is 240 m, train length = total distance − platform length = 450 − 240 = 210 m.

  4. Conclusion: The correct train length based on the given numbers is 210 m.

  5. Note: None of the provided answer choices (150 m, 200 m, 250 m, 300 m) equals 210 m. The provided answer key entry of 200 m does not match the calculation. If the platform length had been 250 m instead of 240 m, then the train length would be 200 m (450 − 250 = 200), which may indicate a typographical error in the question.

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