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    Question

    Person 'X' can finish a task in 40 days while 'Y' can do it

    in 50 days. How long will it take if both work together?
    A 36.36 days Correct Answer Incorrect Answer
    B 64.55 days Correct Answer Incorrect Answer
    C 22.22 days Correct Answer Incorrect Answer
    D 11.11 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total work be 200 units (LCM of 40 and 50)

    Efficiency of 'X' = 200 ÷ 40 = 5 units/day

    Efficiency of 'Y' = 200 ÷ 50 = 4 units/day

    Required time = 200 ÷ (5 + 4) = 22.22 days

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