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    Question

    20 men can do a task in 18 days while 30 women can

    complete the same task in 24 days. In how many days will 1 man and 1 woman complete it together?
    A 120 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

    Solution

    ATQ,

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

    So, 20 × 18 × M = 30 × 24 × W

    Or, M:W = 360 : 720 = 1 : 2

    Let M = 1e and W = 2e

    Let the required time be 'T' days

    So, (1e + 2e) × T = 20 × 18 × 1e

    Or, 3T = 360

    ∴ T = 360 ÷ 3 = 120 days

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