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    Question

    Ratio of speeds of β€˜A’ and β€˜B’ is 4:9,

    respectively. If they participate in a 360-metre race and β€˜B’ gives β€˜A’, a head start of β€˜m’ metres, then they finish the race at the same time. Find the value of β€˜m’.
    A 210 metres Correct Answer Incorrect Answer
    B 290 metres Correct Answer Incorrect Answer
    C 220 metres Correct Answer Incorrect Answer
    D 200 metres Correct Answer Incorrect Answer

    Solution

    Let the distance covered by β€˜A’ in the time β€˜B’ covers 360 metres be β€˜x’ metres (x/360) = (4/9) Or, x = 160 So, m = 360– 160 = 200 metres

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