Question
35 typists working 9 hours per day can complete a typing
job in 14 days. ____ typists working _____ hours per day can complete (3/4)th part of the work in 11 days. The values given in which of the following options will fill the blanks in the same order in which it is given to make the statement true: I. 30, 7 II. 45, 6 III. 40, 5Solution
According to the question, Total work to be done = (3/4) × 35 × 14 × 9 = 3307.5 units. For I: Number of typists = 30 Desired number of hours = 3307.5/(11 × 30) = 10.02 hours So, ‘I’ cannot be true. From II: Number of typists = 45 Desired number of hours = 3307.5/(11 × 45) = 6.75 hours So, ‘II’ can be true. From III: Number of typists = 40 Desired number of hours = 3307.5/(11 × 40) = 7.5 hours So, ‘III’ cannot be true.
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