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ing questions : (Any One)Sunil takes 5 days more than Anil to complete a certain work. 4 days after sarting thework. Anil left the work. The remaining work was done by Sunil inmany days each will take to complete the work.All kings, queens and accs5 days. Find how(2) |
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Answer» Let Anil takes x number of days to complete the work ⇒ 1 day = 1/x of the work Sunil takes 5 more days than Anil to complete the work ⇒ x + 5 days ⇒ 1 day = 1/(x + 5) of the work Together: 1 day = 1/x + 1/(x + 5) 1 day = (x + 5 + x)/x(x+5) 1 day = (2x + 5) / (x² + 5x) of work done Find 4 days of work done: 1 day = (2x + 5) / (x² + 5x) 4 days = 4(2x + 5) / (x² + 5x) 4 days = (8x + 20) / (x² + 5x) of work done Find the amount of work left to be done: Work left = 1 - (8x + 20) / (x² + 5x) Work left = (x² + 5x - 8x - 20) / (x² + 5x) Work left = (x² - 3x - 20) / (x² + 5x) Solve x: Give that Anil needs 5 days to complete the rest of the work (x² - 3x - 20) / (x² + 5x) ÷1/(x + 5) = 5 (x² - 3x - 20) / (x² + 5x) × (x + 5) = 5 (x² - 3x - 20) /x = 5 x² - 3x - 20 = 5x x² - 8x - 20 = 0 (x - 10) (x + 2) = 0 x = 10 or x = -2 (Rejected, number of days cannot be negative) Find the number of days each take to complete the work Anil = x = 10 days Sunil = x + 5 = 10 + 5 = 15 days Answer: Anil takes 10 days and Sunil takes 15 days to complete the work |
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