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    Question

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

    alone can complete one-third of the work in ‘x’ days and remaining work is completed by B alone in 2x 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 × 3) = 3x days Time taken by B to complete the work = (2x × 3/2) = 3x days According to question, => (1/3x) + (1/3x) = 1/18 => (1 + 1)/3x = 1/18 => 3x = 36 => x = 12

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