Question
12Men and 12women can complete a piece of work in 9
days. 6 men and 15 women can complete the same work in 12 days. How long (in days) would it take 9 women to complete half the work?Solution
12M + 12W ® 9 days 1M + 1W ® 108 days also, 6M + 15W ® 12 2M + 5W ® 36 days Þ 108 (1M + 1W) = 36(2M + 5W) 3M + 3W = 2M + 5W M = 2W M: W=2:1 Total work = 36 (4 + 5) = 36 × 9 = 324 9 Women complete the half work =162/ 9 = 18 days
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