Question
25 men and 45 women can complete a piece of work in 15
days, while 15 men and 60 women can complete it in 20 days. In how many days can 69 men and 67 women complete the workSolution
25M + 45W =15 days Þ 5M + 9W = 75 days 15 M + 60W = 20 days Þ 1M + 4W ® 300 days 300(1M + 4W) = 75(5M + 9W) 4M + 16W = 5M + 9W 7W = M W /M=1/7 Total work = 300 × (7 + 4) = 3300 units Now- 69 man + 67 women = 3300 / (69 × 7 + 67) = 6 days
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