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Four men and 6 women finish a job in 8 days. while 3 men and 7 women finish it in 10 days. while 3 men and 7 women finish it in 10 days. In how many days will 10 women take to finish the work together?

Correct Answer: 40
ধরি, ১ জন পুরুষ ১ দিনে করে = x পরিমান কাজ ১ জন মহিলা ১ দিনে করে = y পরিমান কাজ প্রথম শর্তে, 4x + 6y = 1/8........(I) দ্বিতীয় শর্তে, 3x + 7y = 1/10.......(II) (I) × 3 এবং (II) × 4 করে পাই, 12x + 18y = 3/8 12x + 28y = 4/10 [ - 10y = 3/8 - 4/10 = (15 - 16)/40 = - 1/40] 10y = 1/40 ১০ জন মহিলা ১/৪০ অংশ করে ১ দিনে ১০ জন মহিলা ১ অংশ বা সম্পূর্ণ কাজ করে = ৪০ দিনে

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