logo

CuriousTab

CuriousTab

Discussion


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

  • More questions

    • 1. 
      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
    • 2. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 3. 
      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
    • 4. 
      2?63 / 11 =233

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

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 6. 
      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
    • 7. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 8. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss
    • 9. 
      Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?

    • Options
    • A. {3, 4} ? A
    • B. {3, 4} ? A
    • C. 1 ? A
    • D. {1, 2, 5} ? A
    • Discuss
    • 10. 
      Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?

    • Options
    • A. 2 : 5
    • B. 3 : 5
    • C. 4 : 5
    • D. 7 : 3
    • Discuss


    Comments

    There are no comments.

Enter a new Comment