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    Question

    15 men can finish a job in 24 days, while 36 women can do

    the same job in 20 days. How long will 1 man and 1 woman take to complete the work together?
    A 225 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,15 × 24 × M = 36 × 20 × W

    Or, M:W = 720 : 720 = 5 : 3

    Let M = 5e and W = 3e

    Let the required time be 'T' days

    So, (5e + 3e) × T = 15 × 24 × 5e

    Or,8T = 1800

    ∴ T = 1800 ÷ 8 = 225 days

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