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    Question

    Ratio of speeds of β€˜A’ and β€˜B’ is 6:7,

    respectively. If they participate in a 140-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 21 metres Correct Answer Incorrect Answer
    B 15 metres Correct Answer Incorrect Answer
    C 20 metres Correct Answer Incorrect Answer
    D 18 metres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the distance covered by β€˜A’ in the time β€˜B’ covers 140 metres be β€˜x’ metres (x/140) = (6/7) Or, x = 120 So, m = 140 – 120 = 20 metres

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