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      Question

      Three Typists Axe, Wye and Zed working together 3 hours

      per day and can type 720 pages in 12 days. In a day Wye types as many pages more than Axe as Zed types as many pages more than Wye. The number of pages typed by Axe in 9 hours equal to the number of pages typed by Zed in 3 hours. How many pages Zed types in each hour?
      A 9 Correct Answer Incorrect Answer
      B 6 Correct Answer Incorrect Answer
      C 15 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      Workdone by all 3 in 1 hr = 720/(12*3) = 720/36 = 20pages

      So A+Z+W = 20 ---(1)
      As per the Q, W - A = Z - W
      or 2W = A+Z
      Putting this in equation (1),
      2W+W = 20
      3W = 20
      or W = 20/3 pages in 1 hr
      Now putting this value in equation (1) again,
      A+Z+(20/3) = 20
      A+Z = 20 - (20/3) = 40/3 ---(2)
      and also as per the Question, A*9 = Z*3 or A/Z = 3/9 = 1/3 ---(3)
      Using (2) (3), we will get
      A = 10/3 and Z = 10
      Hence Zed can type 10 pages in 1 hour

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