Discussion
6 men and 8 women can do a work together in 10 days, while 5 men and 15 women can do it in 8 days. How many days will 17 men and 16 women take to finish the work?
Answer: B
Equal work is done in the two cases, so 10 days of 6 men and 8 women equal 8 days of 5 men and 15 women.
\[ 10(6m + 8w) = 8(5m + 15w) \]
\[ 20m = 40w \Rightarrow m = 2w \]
The whole work is 10 x (12w + 8w) = 200w. And 17 men and 16 women make 34w + 16w = 50w per day, so they take 200 / 50 = 4 days. The options 3, 6 and 7 do not fit this rate.
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