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    Question

    A man can do a work in 20 days and a woman can do the

    same work in 30 days. In how many days will 3 men and 5 women do the work?
    A 5(3/17)days Correct Answer Incorrect Answer
    B 4(3/19)days Correct Answer Incorrect Answer
    C 3(3/19)days Correct Answer Incorrect Answer
    D 3(7/19)days Correct Answer Incorrect Answer

    Solution

    LCM (20, 30) = 60 Let the total work be the LCM of the time taken by the individuals. Hence, the total work = 60 units Efficiencies, 1 man does each day = 60 / 20 = 3 units 1 woman do each day = 60/30 = 2 units Time taken by the mentioned workforce to finish the work = 60 /(3×3+5x2) =60/19 days =3(3/19)days.

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