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    Question

    A and B can complete a work together in 32 days. If A

    alone can complete one-fourth of the work in ‘x’ days and remaining work is completed by B alone in 6x days, then find the value of x.
    A 24 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 12 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 = (6x × 4/3) = 8x days According to question, => (1/4x) + (1/8x) = 1/32 => (2 + 1)/8x = 1/32 => 8x = 96 => x = 12

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