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

  • question_answer
    10 men working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days.

    A) 4 hours           

    B) 6 hours

    C) 7 hours         

    D)          9 hours

    Correct Answer: B

    Solution :

        To complete the work in 18 days, 10 men work 6 hours a day To complete the work in 18 days, 1 man work (10 x 6) hours a day To complete the work in a day, 1 man will work \[(6\times 10\times 18)\] hours in a day (less days, less men, more hours) To complete the work in 1 day, 15 men will work \[\frac{(6\times 10\times 18)}{15}\] hours a day. \[\therefore \] To complete the work in 12 days, 15 men will work \[\left( \frac{6\times 10\times 18}{12\times 15} \right)\] hours a day. (more days, more men, less hours) = 6 hours a day.


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