logo

CuriousTab

CuriousTab

Discussion


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. 45 m
  • B. 50 m
  • C. 54 m
  • D. 72 m

  • Correct Answer
  • 50 m 

    Explanation
    2 kmph = 2 x 5 m/sec = 5 m/sec.
    18 9

    4 kmph = 4 x 5 m/sec = 10 m/sec.
    18 9

    Let the length of the train be x metres and its speed by y m/sec.

    Then, x = 9 and x = 10.
    y - 5
    9
    y - 10
    9

    ∴ 9y - 5 = x and 10(9y - 10) = 9x

    ⟹ 9y - x = 5 and 90y - 9x = 100.

    On solving, we get: x = 50.

    ∴ Length of the train is 50 m.


  • More questions

    • 1. 
      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


    Comments

    There are no comments.

Enter a new Comment