Problem on Trains


  1. A person see a train passing over 1 km long bridge. The length of the train is half that of bridge. If the train clears the bridge in 2 minutes the speed of the train is ?









  1. View Hint View Answer Discuss in Forum

    Distance covered in 2/60 hours = (1 + 1/2) = 3/2 km

    Correct Option: B

    Distance covered in 2/60 hours = (1 + 1/2) = 3/2 km
    Distance covered in 1 hour = (3/2) x (60/2) = 45 km
    So, speed of the train = 45 km/hr


  1. What is the time taken by a train running at 18 km/h to cross a man standing on a platform, length of the train is 120 m ?









  1. View Hint View Answer Discuss in Forum

    Speed of the train = 18 km/h = 18 x 5/18 m/s = 5 m/s
    Distance covered = Length of the train = 120 m
    ∴ Time taken by the train to cross the man = Distance/Speed

    Correct Option: D

    Speed of the train = 18 km/h = 18 x 5/18 m/s = 5 m/s
    Distance covered = Length of the train = 120 m
    ∴ Time taken by the train to cross the man = Distance/Speed
    = 120/5 = 24 s



  1. Two trains are moving in the same direction with speeds of 15 km/h and 21km/h respectively. What is the speed of trains in respect of each other ?









  1. View Hint View Answer Discuss in Forum

    We know that, if two trains are running in the same direction, then relative speed is equal to the difference of the speeds of both the trains.

    Correct Option: C

    We know that, if two trains are running in the same direction, then relative speed is equal to the difference of the speeds of both the trains.
    ∴ Required relative speed = 21 - 15 = 6 km/h


  1. The relative speed of a train in respect of a car is 90 km/h when train and car are moving opposite to each other. Find the actual speed of train . If car is moving with a speed of 15 km/h. ?









  1. View Hint View Answer Discuss in Forum

    Relative speed of train
    = Speed of train + Speed of car

    Correct Option: D

    Relative speed of train
    = Speed of train + Speed of car
    ⇒ 90 = Speed of train + 15
    ∴ Speed of train = 90 - 15 = 75 km/h



  1. Two train are moving in opposite direction with speed of 6 m/s and 12 m/s, respectively. Find their relative speed. ?









  1. View Hint View Answer Discuss in Forum

    When two trains are moving in opposite directions then their relative speed is equal to the sum of the speed of both the trains.

    Correct Option: A

    When two trains are moving in opposite directions then their relative speed is equal to the sum of the speed of both the trains.
    ∴ Required relative speed = 6 + 12 = 18 m/s