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

  • question_answer
    Together, Chotu and Nitu plough a field in 4 days. Nitu alone takes 6 days to plough the same field. In how many days can Chotu alone plough the field?

    A) 10 days           

    B)          11 days

    C) 12 days           

    D)          14 days

    Correct Answer: C

    Solution :

        Time taken by Chotu and Nitu to plough the field together = 4 days Time taken by Nitu to plough the field = 6 days. \[\therefore \] Chotu and Nitu's 1 days' work \[=\frac{1}{4}\] Nitu's 1 days' work \[=\frac{1}{6}\] Now, Chotu's 1 days' work = (Chotu and Nitu's 1 days' work) - (Nitu's 1 days' work) \[=\frac{1}{4}-\frac{1}{6}\,=\frac{3-2}{12}=\frac{1}{12}\] Hence, Chotu can plough the field in 12 days.


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