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    Question

    Person A can complete a certain task in 20 days, while

    person B can finish the same task in x days. Together, they can complete the task in 12 days. Determine the value of x.
    A 10 days Correct Answer Incorrect Answer
    B 15 days Correct Answer Incorrect Answer
    C 20 days Correct Answer Incorrect Answer
    D 25 days Correct Answer Incorrect Answer
    E 30 days Correct Answer Incorrect Answer

    Solution

    Let total amount of work = 60 units (LCM of 20 and 12) Efficiency of ‘A’ = 60/20 = 3 units/day Efficiency of ‘A’ and ‘B’ together = 60 /12 = 5 units/day Efficiency of ‘B’ = 5 – 3 = 2 units/day So, x = 60/2 = 30 days

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