Problem on Trains

Problem on Trains

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Aptitude miscellaneous
  1. Two trains of same length take 6 s and 9 s, respectively to cross a pole. If both the trains are running in the same direction, then how long will they take to cross each other ?








  1. View Hint View Answer Discuss in Forum

    Given that, t1 = 6 s and t2 = 9 s
    Then, time taken by the trains to cross each other = 2t1 t2 / (t2 - t1)

    Correct Option: B

    Given that, t1 = 6 s and t2 = 9 s
    Then, time taken by the trains to cross each other = 2t1 t2 / (t2 - t1)
    = (2 x 6 x 9)/(9 - 6) = 36 s

  1. Two station P and Q are at a distance of 160 km. Two trains starts moving from P and Q to Q and P respectively and meet each other after 4 h . If speed of the train starting from P is more than that of other train by 6 km/h. then find the speeds of both the trains, respectively. ?








  1. View Hint View Answer Discuss in Forum

    Let the speed of both trains be V km/h and (V + 6) km/h, respectively
    Then, according to the question.
    160 = V x 4 + (V + 6) x 4

    Correct Option: C

    Let the speed of both trains be V km/h and (V + 6) km/h, respectively
    Then, according to the question.
    160 = V x 4 + (V + 6) x 4
    ⇒ 160 = 4V + 4V + 24
    ⇒ 40 = V + V + 6
    ⇒ 2V + 6 = 40
    ⇒ 2V = 34
    ∴ V = 17
    Hence, speeds of both the trains are 17 km/h and (17 + 6 ) km/h i,e 17 km/h and 23 km/h .

  1. P and Q are 27 km away. Two trains will having speeds of 24 km/h and 18 km/h respectively starts simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is








  1. View Hint View Answer Discuss in Forum

    If the trains meet after t h.
    Relative speed of train = (24 -18) = 6 km/h
    ⇒ Distance = 27
    ∴ t = 27/6 = 9/2 h

    Correct Option: B

    If the trains meet after t h.
    Relative speed of train = (24 -18) = 6 km/h
    ⇒ Distance = 27
    ∴ t = 27/6 = 9/2 h
    ∴ QR distance travel by train which is travelling at a speed of 18 km/h = 18t = 18 x 9/2 = 81 km

  1. Two train start at the same time from points x and y towards each other and after crossing, they take 9 h and 4 h in reaching points y and x, respectively. Find the ratio of speeds of the 1st train to that of the 2nd train ?








  1. View Hint View Answer Discuss in Forum

    Given that, T1 = 9 h and T 2 = 4 h
    According to the formula.
    (1st train's speed) : (2nd train's speed) = √4 : √9

    Correct Option: A

    Given that, T1 = 9 h and T 2 = 4 h
    According to the formula.
    (1st train's speed) : (2nd train's speed) = √4 : √9
    = 2 : 3

  1. Two trains are running 40 km/h and 20 km/h respectively, in the same directions. The fast train completely passes a man sitting in the slow train in 5 s. The length of the fast a train is ?








  1. View Hint View Answer Discuss in Forum

    The length of the fast train = Relative speed x Time
    = (40 - 20) x (5/18) x 5

    Correct Option: C

    The length of the fast train = Relative speed x Time
    = (40 - 20) x (5/18) x 5 = 277/9 m