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Trains

Quantitative Aptitude · Maths Bookwise · Work & Motion

Useful for: SSC CGL

BOOK-GUIDED ORIGINAL SSC MATHS PRACTICE — Trains

FOUNDATION

Time to cross a platform = (train length + platform length) / speed.

METHOD

Identify the quantities given, choose the exact relationship, calculate in the same unit, then check the answer against the question.

WORKED EXAMPLE 1

A 272 m train crosses a 50 m platform at 23 m/s. Time (seconds)?

Distance to clear platform = 272+50=322 m. Time = 322/23 = 14 s.

WORKED EXAMPLE 2

A 466 m train crosses a 80 m platform at 14 m/s. Time (seconds)?

Distance to clear platform = 466+80=546 m. Time = 546/14 = 39 s.

IMPORTANT EXCEPTION / COMMON TRAP

Convert km/h to m/s using 5/18 when needed.

QUICK REVISION

Time to cross a platform = (train length + platform length) / speed.

SEE MORE: https://study.kundali-iq.com/ssc-maths/trains/

For complete timed maths practice, use SSC CGL Test Series → New Maths 100 Mixed Sets or Chapter-wise sets. These are independent original questions, not copied previous-year questions.

Practice MCQs

  1. A 272 m train crosses a 50 m platform at 23 m/s. Time (seconds)?

    1. 15
    2. 16
    3. 13
    4. 14

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    Show answer

    Answer: (d) 14. Distance to clear platform = 272+50=322 m. Time = 322/23 = 14 s.

  2. A 466 m train crosses a 80 m platform at 14 m/s. Time (seconds)?

    1. 41
    2. 37
    3. 43
    4. 39

    Read chapter notes · Similar questions

    Show answer

    Answer: (d) 39. Distance to clear platform = 466+80=546 m. Time = 546/14 = 39 s.

  3. A 19 m train crosses a 80 m platform at 11 m/s. Time (seconds)?

    1. 10
    2. 9
    3. 8
    4. 11

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    Answer: (b) 9. Distance to clear platform = 19+80=99 m. Time = 99/11 = 9 s.

  4. A 839 m train crosses a 60 m platform at 29 m/s. Time (seconds)?

    1. 29
    2. 33
    3. 35
    4. 31

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    Answer: (d) 31. Distance to clear platform = 839+60=899 m. Time = 899/29 = 31 s.

  5. A train 110 m long runs at 54 km/h. Time to cross a pole?

    1. 9.33 s
    2. 6.33 s
    3. 8.33 s
    4. 7.33 s

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    Show answer

    Answer: (d) 7.33 s. Convert speed: 54 km/h = 15 m/s.

  6. A train 120 m long runs at 72 km/h. Time to cross a pole?

    1. 7 s
    2. 6 s
    3. 8 s
    4. 5 s

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    Answer: (b) 6 s. Convert speed: 72 km/h = 20 m/s.

  7. A train 130 m long runs at 90 km/h. Time to cross a pole?

    1. 6.2 s
    2. 4.2 s
    3. 5.2 s
    4. 7.2 s

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    Answer: (c) 5.2 s. Convert speed: 90 km/h = 25 m/s.

  8. A train 140 m long runs at 36 km/h. Time to cross a pole?

    1. 15.4 s
    2. 16.8 s
    3. 12.6 s
    4. 14 s

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    Show answer

    Answer: (d) 14 s. Convert speed: 36 km/h = 10 m/s.

  9. A train 150 m long runs at 54 km/h. Time to cross a pole?

    1. 11 s
    2. 10 s
    3. 12 s
    4. 9 s

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    Show answer

    Answer: (b) 10 s. Convert speed: 54 km/h = 15 m/s.

  10. A train 160 m long runs at 72 km/h. Time to cross a pole?

    1. 8 s
    2. 7 s
    3. 10 s
    4. 9 s

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    Answer: (a) 8 s. Convert speed: 72 km/h = 20 m/s.

  11. A train 170 m long runs at 90 km/h. Time to cross a pole?

    1. 5.8 s
    2. 7.8 s
    3. 6.8 s
    4. 8.8 s

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    Answer: (c) 6.8 s. Convert speed: 90 km/h = 25 m/s.

  12. A train 180 m long runs at 36 km/h. Time to cross a pole?

    1. 16.2 s
    2. 21.6 s
    3. 19.8 s
    4. 18 s

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    Answer: (d) 18 s. Convert speed: 36 km/h = 10 m/s.

  13. A train 190 m long runs at 54 km/h. Time to cross a pole?

    1. 12.67 s
    2. 11.4 s
    3. 15.2 s
    4. 13.93 s

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    Answer: (a) 12.67 s. Convert speed: 54 km/h = 15 m/s.

  14. A train 200 m long runs at 72 km/h. Time to cross a pole?

    1. 11 s
    2. 10 s
    3. 9 s
    4. 12 s

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    Show answer

    Answer: (b) 10 s. Convert speed: 72 km/h = 20 m/s.

  15. A train 210 m long runs at 90 km/h. Time to cross a pole?

    1. 9.4 s
    2. 8.4 s
    3. 7.4 s
    4. 10.4 s

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    Show answer

    Answer: (b) 8.4 s. Convert speed: 90 km/h = 25 m/s.

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Notes and questions are written by Kundali IQ for practice. They are not official papers; always check the latest official notification for the syllabus and pattern.