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Home Aptitude Problems on Trains See What Others Are Saying!
  • Question
  • A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is?


  • Options
  • A. 72 meters
  • B. 54 meters
  • C. 50 meters
  • D. 45 meters

  • Correct Answer
  • 50 meters 

    Explanation

    Let the length of the train be L km and its speed by y km/hr
    Then , speed of train relative to first man = (y - 2) km/hr
    Speed of train relative to second man = (y - 4) km/hr
    ? L / (y - 2) = 9 /(60 x 60)
    and L / (y - 4) = 10/ (60 x 60)
    ? 9y - 18 = 3600 x L ...(1)
    and 10y - 40 = 36000 x L ... (2)
    So, 9y - 18 = 10y - 40
    ? y = 22
    ? L/ (22 - 2) = 9/ 3600
    ? L = (20 x 9) / 3600 = 1/20 km = (1/20) x 1000 = 50 m.


  • More questions

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      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 2. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 3. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 4. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 5. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 6. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 7. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 9. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 10. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss


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