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Discussion :: Time and Work

  1.  In how many days can 10 women finish a work?

    I.10 men can complete the work in 6 days.

    II.10 men and 10 women together can complete the work in 337days.

    III.If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days.

         

  2. A.

    Any two of the three

    B.

    I and II only

    C.

    II and III only

    D.

    I and III only

    E.

    None of these

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    Answer : Option A

    Explanation :

    I. (10 x 6) men can complete the work in 1 day.

      1 man's 1 day's work = 160

     

    II. [10247]men+[10247] women can complete the work in 1 day.

     [2407] men's 1 day work +[2407] women's 1 day work = 1

    [2407 x 160] +[2407] women's 1 day's work = 1

     [2407]women's 1 day's work =[1-47] =37

           10 women's 1 day's work =[  37x7240x 10] =18

    So, 10 women can finish the work in 8 days.

     

    III. (10 men's work for 3 days) + (10 women's work for 4 days) = 1

           (10 x 3) men's 1 day's work + (10 x 4) women's 1 day's work = 1

           30 men's 1 day's work + 40 women's 1 day's work = 1

     

          Thus, I and III will give us the answer.

          And, II and III will give us the answer.

       

       Correct answer is (A)

     


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