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    Question

    A and B are travelling towards each other with a speed

    of 50 km/hr and 60 km/hr. If they started at same time and A covered 26 km less distance than B before meeting him, then find the distance between them before starting.
    A 276 km Correct Answer Incorrect Answer
    B 296 km Correct Answer Incorrect Answer
    C 286 km Correct Answer Incorrect Answer
    D 206 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Since, the time taken by A and B is same, therefore the ratio of the distance covered by them will be equal to the ratio of their speeds. Therefore, ratio of the distance covered by A and B = 50:60 = 5:6 Let the distance covered by A and B be 5x km and 6x km According to the question, 6x – 5x = 26 Or, x = 26 Therefore, distance between them before starting = 6x + 5x = 11x = 286 km

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