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    Question

    22 men can finish a piece of work in 20 days, while 44

    women can do the same job in 30 days. How many days will 1 man and 1 woman take to complete the work together?
    A 110 days Correct Answer Incorrect Answer
    B 150 days Correct Answer Incorrect Answer
    C 100 days Correct Answer Incorrect Answer
    D 125 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of a man and a woman be 'M' and 'W' units/day, respectively.

    So, 22 × 20 × M = 44 × 30 × W

    Or, M:W = 440 : 1320 = 1 : 3

    Let M = 1e and W = 3e

    Let the required time be 'T' days

    So, (1e + 3e) × T = 22 × 20 × 1e

    Or, 4T = 440

    ∴ T = 440 ÷ 4 = 110 days

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