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    Question

    ‘X’ and ‘Y’ can do a task together in 15 days. If

    ‘X’ alone takes 25 days to complete it, then how much time will ‘Y’ take to finish the task alone?
    A 50/19 days Correct Answer Incorrect Answer
    B 26/11 days Correct Answer Incorrect Answer
    C 75/2 days Correct Answer Incorrect Answer
    D 11/5 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let total work = 75 units. {LCM (15 and 25)}

    Combined efficiency = 75 ÷ 15 = 5 units/day

    Efficiency of 'X' = 75 ÷ 25 = 3 units/day

    Efficiency of 'Y' = 5 - 3 = 2 units/day

    Time taken by 'Y' alone = 75 ÷ 2 = (75/2) days

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