Problem on Trains


  1. 150 m long train running with the speed of 90 km/h to cross a bridge in 26 s .What is the length of the bridge?









  1. View Hint View Answer Discuss in Forum

    Let length of bridge be L m.
    We know, Speed = Distance/Time

    According to the question,
    90 x 5/18 = 150 + L/26

    Correct Option: A

    Let length of bridge be L m.
    We know, Speed = Distance/Time

    According to the question,
    90 x 5/18 = 150 + L/26
    ⇒ 25 x 26 = 150 + L
    ⇒ 650 = 150 + L
    ∴ L = 500 m


  1. A train running at the speed of 72 km/h goes past a pole in 15 s. What is the length of the train?









  1. View Hint View Answer Discuss in Forum

    Speed of train = Length of train / Time taken to cross the stationary object
    ∴ Length of train = Speed of train x Time taken to cross the stationary object

    Correct Option: C

    Speed of train = Length of train / Time taken to cross the stationary object
    ∴ Length of train = Speed of train x Time taken to cross the stationary object
    = 72 x 5 x (15/18) = 300 m



  1. A train takes 9 s to cross a pole. If the speed of the train is 48 km/h, then length of the train is ?









  1. View Hint View Answer Discuss in Forum

    Let the length of the train be L m.
    New , speed = 48 km/h = 48 x (5/18) m/s
    Train takes 9 s to cross a pole.
    ∴ : Length of train, L = Speed x Time

    Correct Option: B

    Let the length of the train be L m.
    New , speed = 48 km/h = 48 x (5/18) m/s
    Train takes 9 s to cross a pole.
    ∴ : Length of train, L = Speed x Time
    = 48 x (5/18) x 9 = 120 m


  1. Two trains A and B start from Delhi and Patna toward Patna and Delhi, respectively. After passing each other, they take 16 h and 9 h to reach Patna and Delhi, respectively. If the train from Delhi is moving at 90 km/h, then find the speed of the other train (in km/h) . ?









  1. View Hint View Answer Discuss in Forum

    Given t1 = 16 h , t2 = 9 h and a = 90 km/h
    According to the question
    ∴ Speed of B = a√t1/ t2

    Correct Option: A

    Given t1 = 16 h , t2 = 9 h and a = 90 km/h
    According to the question
    ∴ Speed of B = a√t1/ t2
    = 90 x √16/9
    = 90 x 4/3
    = 30 x 4 = 120 km/h



  1. A train travelling at 48 km/h completely crosses an another train having half length of first train and travelling in opposite directions at 42 km/h in 12 s. It also passes a railways platform in 45 s . The length of the platform is ?









  1. View Hint View Answer Discuss in Forum

    Let the length of the first train be x m.
    Then, the length of second train is (x/2) m
    ∴ Relative speed = (48 + 42) km/h = (90 x 5/18) m/s = 25 m/s
    According to the question. (x + x/2) / 25 = 12

    Correct Option: A

    Let the length of the first train be x m.
    Then, the length of second train is (x/2) m
    ∴ Relative speed = (48 + 42) km/h = (90 x 5/18) m/s = 25 m/s
    According to the question. (x + x/2) / 25 = 12
    ⇒ 3x/2 = 300
    ⇒ x = 200 m
    ∴ Length of first train = 200 m
    Let the length of platform be y m .
    Speed of the first train = (48 x 5/18) m/s = 40/3 m/s
    Time = Distance / Speed
    ∴ (200 + y) x 3/40 = 45
    ⇒ 600 + 3y = 1800
    ∴ y = 400 m