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    Question

    ‘M’ alone can complete a work in 18 days. ‘N’ is

    50% as efficient as ‘M’. How long will they take to complete the work together?
    A 15 days Correct Answer Incorrect Answer
    B 22 days Correct Answer Incorrect Answer
    C 18 days Correct Answer Incorrect Answer
    D 12 days Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of ‘M’ = 6x units/day

    Then, total work = 6x × 18 = 108x units

    Efficiency of ‘N’ = 6x × 0.5 = 6x × (1/2) = 3x units/day

    So, combined efficiency of ‘M’ and ‘N’ = 6x + 3x = 9x units/day

    So, time taken by ‘M’ and ‘N’ together to complete the work = 108x / 9x = 12 days

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