📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    Ratio of length of train 'A' to that of train 'B' is

    2:3, respectively. The two trains are running in the same direction. Speed of train 'A' and train 'B' is 108 km/h and 126 km/h, respectively. If train 'B' overtakes train 'A' in 120 seconds, then find the length of train 'A'.
    A 200 m Correct Answer Incorrect Answer
    B 220 m Correct Answer Incorrect Answer
    C 240 m Correct Answer Incorrect Answer
    D 260 m Correct Answer Incorrect Answer

    Solution

    Let the length of train 'A' and train 'B' be '2x' metres and '3x' metres. Speed of the train 'A' = 108 × (5/18) = 30 m/s Speed of train 'B' = 126 × (5/18) = 35 m/s Relative speeds of the two trains = 35 - 30 = 5 m/s ATQ;
    {(3x + 2x) / 5} = 120 Or, 5x = 120 × 5 Or, x = 120 Therefore, the length of train 'A' = 2x = 2 × 120 = 240 metres

    Practice Next
    More Trains Questions

    Relevant for Exams:

    ask-question