Question
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Answer: Option B
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Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.
Then, 4x + 6y = \(\frac{1}{8}\) and 3x + 7y = \(\frac{1}{10}\)
Solving the two equations, we get: x = \(\frac{1}{400}\) , y = \(\frac{1}{400}\)
So, 1 woman's 1 day's work = \(\frac{1}{400}\)
10 women's 1 day's work = \(\left(\frac{1}{400}\times10\right) = \frac{1}{40}.\)
Hence, 10 women will complete the work in 40 days.
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