Question
28 typists working 5 hours per day can complete a typing
job in 18 days. ____ typists working _____ hours per day can complete (5/6)th part of the work in 15 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. 32, 6 II. 40, 5 III. 25, 8Solution
According to the question, Total work to be done = (5/6) × 28 × 18 × 5 = 2100 units. For I: Number of typists = 32 Desired number of hours = 2100/(15 × 32) = 4.375 hours So, ‘I’ cannot be true. From II: Number of typists = 40 Desired number of hours = 2100/(15 × 40) = 3.5 hours So, ‘II’ cannot be true. From III: Number of typists = 25 Desired number of hours = 2100/(15 × 25) = 5.6 hours So, ‘III’ can be true.
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