6th Class Mathematics Related to Competitive Exam Question Bank Time and Work

  • question_answer
    A can do \[\frac{1}{2}\] work in 5 days. B can do \[\frac{3}{5}\] of same work in 9 days and C can do \[\frac{2}{3}\] of that work in days. In how many days can three of them together do the work.

    A) 5 days             

    B)           \[4\frac{1}{2}\] days

    C) 3 days             

    D)          4 days

    Correct Answer: D

    Solution :

        A can do 1 work in 10 days B can do 1 work in \[\frac{9\times 5}{3}\] days = 15 days C can do 1 work in \[\frac{8\times 3}{2}\] days = 12 days \[\therefore \] (A + B + C)'s one day work \[=\frac{1}{10}+\frac{1}{15}\,+\frac{1}{12}\,=\frac{6+4+5}{60}\,=\frac{15}{60}=\frac{1}{4}\] \[\therefore \] They will complete the work in 4 days.


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