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    Question

    Ratio of speeds of ‘A’ and ‘B’ is 4:9,

    respectively. If they participate in a 270-metre race and ‘B’ gives ‘A’, a head start of ‘m’ metres, then they finish the race at the same time. Find the value of ‘m’.
    A 100 metres Correct Answer Incorrect Answer
    B 120 metres Correct Answer Incorrect Answer
    C 150 metres Correct Answer Incorrect Answer
    D 130 metres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the distance covered by ‘A’ in the time ‘B’ covers 270 metres be ‘x’ metres (x/270) = (4/9) Or, x = 120 So, m = 270 – 120 = 150 metres

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