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

  • question_answer
    Fifteen men take 10 days to complete a job working 12 hours a day. How many hours a day should 10 men work to complete the job in 20 days?

    A) 7                     

    B)          8

    C) 9                     

    D)          11

    Correct Answer: C

    Solution :

        Since 15 men take 10 days working 12 hours per day, the total work done measured in terms of man-hours is \[15\times 10\times 12\]. When 10 men are required to complete the same job in 20 days working hours a day, work done \[=10\times 20\times h\] But \[10\times 20\times h=15\times 10\times 12\]. Hence the number of hours for which they should work per day is \[\frac{15\times 10\times 12}{10\times 20}=9\] \[\therefore \] 10 men can complete the work in 20 days working for 9 hours per day.


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