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    Question

    Two trains start at the same time from A and B and move

    towards each other at the rates of 10km/h and 27 km/h, respectively. When they meet, it is found that one train has travelled 340 km more than the other. The distance between A and B is ______.
    A 740 km Correct Answer Incorrect Answer
    B 786 km Correct Answer Incorrect Answer
    C 486 km Correct Answer Incorrect Answer
    D 589 km Correct Answer Incorrect Answer

    Solution

    Relative speed = 10km / h + 27km / h = 37km / h   If they meet after t hours Total distance = 10t + 27t   According to the question (27t) - (10t) = 340 17t = 340 t = 20 Substituting the value of t in the above equations Total Distance = 10 × 20 + 27 × 20 = 740km. The distance between A and B is 740 km.

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