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    Question

    A and B are travelling towards each other with a speed

    of 30 km/hr and 40 km/hr. They started at same time and A covered 30 km less distance than B before meeting B. Find the distance between them before starting.
    A 160 km Correct Answer Incorrect Answer
    B 180 km Correct Answer Incorrect Answer
    C 210 km Correct Answer Incorrect Answer
    D 145 km Correct Answer Incorrect Answer
    E None of these 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 = 30:40 = 3:4 Let the distance covered by A and B be 3x km and 4x km respectively. According to question, => 4x – 3x = 30 => x = 30 Therefore, distance between them before starting = 4x + 3x = 7x = 210 km

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