logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Problems on Trains See What Others Are Saying!
  • Question
  • A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ?


  • Options
  • A. 250 mts
  • B. 400 mts
  • C. 320 mts
  • D. 390 mts

  • Correct Answer
  • 400 mts 

    Explanation

    Let the length of the 1st train = L mts

    Speed of 1st train = 48 kmph

    Now the length of the 2nd train = L/2 mts

    Speed of 2nd train = 42 kmph

    Let the length of the bridge = D mts

    Distance = L + L/2 = 3L/2

    Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite)

    Time = 12 sec

    => 3L/2x25 = 12

    => L = 200 mts

    Now it covers the bridge in 45 sec

    => distance = D + 200

    Time = 45 sec

    Speed = 48 x5/18 = 40/3 m/s

    => D + 200/(40/3) = 45

    => D = 600 - 200 = 400 mts

    Hence, the length of the bridge = 400 mts.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

    More questions

    • 1. 
      In a race of 600 m, A can beat B by 60 m and in a race of 500 m, B can beat C by 50 m. By how many meter will A beat C in a race of 400 m?

    • Options
    • A. 78 m
    • B. 56 m
    • C. 76 m
    • D. 86 m
    • Discuss
    • 2. 
      0.15 / (0.5 / 15) =?

    • Options
    • A. 4.5
    • B. 45
    • C. 0.03
    • D. 0.45
    • Discuss
    • 3. 
      For any integers a and b with HCF (a, b) = 1, what is HCF (a + b, a - b) equal to?

    • Options
    • A. It is always 1
    • B. It is always 2
    • C. Either 1 or 2
    • D. None of the above
    • Discuss
    • 4. 5358 x 51 =?

    • Options
    • A. 273258
    • B. 273268
    • C. 273348
    • D. 273358
    • Discuss
    • 5. Which of the following numbers is divisible by each one of 3, 7, 9 and 11?

    • Options
    • A. 639
    • B. 2079
    • C. 3791
    • D. 37911
    • E. None of these
    • Discuss
    • 6. 
      If the total sales for a business in a certain year were ? 132000. What were the sales in june, if june sales were half the monthly average?

    • Options
    • A. ? 8400
    • B. ? 7200
    • C. ? 5500
    • D. ? 6300
    • Discuss
    • 7. 
      If 0.8 x A = 0.09 x B, then find A : B.

    • Options
    • A. 9 : 80
    • B. 3 : 80
    • C. 80 : 9
    • D. 7 : 80
    • Discuss
    • 8. 
      A 4% stock yield 5%. The market value of the stock is?

    • Options
    • A. Rs. 125
    • B. Rs. 80
    • C. Rs. 99
    • D. Rs. 109
    • Discuss
    • 9. 
      The product of 3.5413 x 2.1 is

    • Options
    • A. 7.44673
    • B. 7.43673
    • C. 7.53673
    • D. None of these
    • Discuss
    • 10. 
      Maganlal, a worker, makes an article in every 2/3h. If he works for 7 1/ 2h, then how many articles will he make?

    • Options
    • A. 111/4
    • B. 111/3
    • C. 112/6
    • D. 112/5
    • Discuss


    Comments

    There are no comments.

Enter a new Comment