A alone can do 1/4th of the work in 2 days. B alone can do 2/3rd of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?



A alone can do 1/4th of the work in 2 days. B alone can do 2/3rd of the work in 4 days. If all the three work together, they can complete it in 3 days so what part of the work will be completed by C in 2 days ?

A. 1/12

B. 1/8

C. 1/6

D. 1/20

Answer : A. 1/12


Explanation:


    A can do the total work in 8 days, and B can do it in 6 days.

    Let the total work be 24 units.

    Now,
    A = 24/8 = 3
    B = 24/6 = 4
    A + B + C = 24/3 = 8

    So Capacity of C = 1 unit.
    In two days C will do 2 units which is 2/24th part of the total work. So 1/12th part.


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