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    Question

    A and B are travelling towards each other with a speed

    of 70 km/hr and 80 km/hr. If they started at same time and A covered 30 km less distance than B before meeting him, then find the distance between them before starting.
    A 400 km Correct Answer Incorrect Answer
    B 420 km Correct Answer Incorrect Answer
    C 450 km Correct Answer Incorrect Answer
    D 470 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 = 70:80 = 7:8 Let the distance covered by A and B be 7x km and 8x km According to the question, 8x – 7x = 30 Or, x = 30 Therefore, distance between them before starting = 8x + 7x = 15x = 450 km

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