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    Question

    A and B are travelling towards each other with a speed

    of 20 km/hr and 30 km/hr. They started at same time and A covered 40 km less distance than B before meeting B. Find the distance between them before starting.
    A 200 km Correct Answer Incorrect Answer
    B 180 km Correct Answer Incorrect Answer
    C 120 km Correct Answer Incorrect Answer
    D 175 km Correct Answer Incorrect Answer

    Solution

    Here time taken by both A and B is same, so 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 = 20:30 = 2:3 Let the distance covered by A and B be 2x km and 3x km respectively. According to question, => 3x – 2x = 40 => x = 40 Therefore, distance between them before starting = 3x + 2x = 5x = 200 km

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