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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

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