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Home Aptitude Problems on Trains See What Others Are Saying!
  • Question
  • A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?


  • Options
  • A. 66 km/hr
  • B. 72 km/hr
  • C. 78 km/hr
  • D. 81 km/hr

  • Correct Answer
  • 81 km/hr 

    Explanation
    4.5 km/hr = 4.5 x 5 m/sec = 5 m/sec = 1.25 m/sec, and
    18 4

    5.4 km/hr = 5.4 x 5 m/sec = 3 m/sec = 1.5 m/sec.
    18 2

    Let the speed of the train be x m/sec.

    Then, (x - 1.25) x 8.4 = (x - 1.5) x 8.5

    ⟹ 8.4x - 10.5 = 8.5x - 12.75

    ⟹ 0.1x = 2.25

    x = 22.5

    ∴ Speed of the train = 22.5 x 18 km/hr = 81 km/hr.
    5

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    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

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

    • Options
    • A. 1 3
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    • 4. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
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    • 5. 
      .02 =(......?.....)%

    • Options
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    • 6. 
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    • Options
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    • 7. 
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    • Options
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    • Options
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    • Discuss
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    • Options
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