Question
Aman manages to write 256 pages of a book over a span of
24 days, dedicating 8 hours each day to this task. Meanwhile, Pranav, who is known to be 50% more efficient in his writing than Aman, completes 'x' pages of the same book in 30 days, working 9 hours daily. Calculate the number of pages, 'x', that Pranav writes.Solution
Let the efficiency of Aman be '2a' pages/hour So, the efficiency of Pranav = 1.5 X 2a = '3a' pages/hour ATQ, (2a X 24 X 8) Γ· 256 = (3a X 30 X 9) Γ· x So, 'x' = {(3 X 30 X 9) X (2/3) } = 540 pages
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