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

  • question_answer
    Three persons A, B and C can do a job alone in 10 days, 12 days and 15 days respectively. In how many days they can finish the job working together?

    A) 4 days             

    B)          5 days

    C) 6 days             

    D)          6/2 days

    Correct Answer: A

    Solution :

        One day work of A, B and C are  \[\frac{1}{10},\,\frac{1}{12}\] and \[\frac{1}{15}\] respectively One day work if they work together \[=\left( \frac{1}{10}+\frac{1}{12}+\frac{1}{15} \right)\,=\frac{15}{60}\,=\frac{1}{4}\] \[\therefore \] Time required to complete the job \[=\frac{1}{1/4}\,=4\] days


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