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    Question

    A and B can complete a work together in 18 days. If A

    alone can complete one-fourth of the work in ‘x’ days and remaining work is completed by B alone in 3x days, then find the value of x.
    A 20 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 9 Correct Answer Incorrect Answer
    D 7.5 Correct Answer Incorrect Answer

    Solution

    Time taken by A to complete the work = (x × 4) = 4x days Time taken by B to complete the work = (3x × 4/3) = 4x days According to question, => (1/4x) + (1/4x) = 1/18 => (1 + 1)/4x = 1/18 => 4x = 36 => x = 9

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