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Q: 10 men and 15 women can finish work in 6 days 1 man can finish in 100 days How many days will it take for 1 woman to finish her work?
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10 men and 15 women can finish awork in 6 days1 man can finish in 100 dayshow many days will a women take to finish her work?

-- 1 man can do the job in 100 days.-- Each day, 1 man does 0.01 of the job.-- Each day, 10 men do 0.1 of the job.-- In 6 days, 10 men do 0.6 of the job.-- If 15 women work with the 10 men, they can all finish the job in the same 6 days.-- So the 15 women must do the remaining (1 - 0.6) = 0.4 of the job in 6 days.-- Each day, the 15 women do 0.4/6 of the job.-- Each day, each woman does 0.4/(6 x 15) of the job.-- So it would take 1 woman (6 x 15)/0.4 days to do the job.That's 225days.(Does this mean that women should earn 100/225 = 44.4% the hourly wage of men ? ?)


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20 men and 25 women can do a work in 8 days one man alone can do it in 200 days in how many days will a woman finish the work?

One man can do the job in 200 days ==> One man does 1/200th of the job in one day.In 8 days, 20 men do (20 x 8) = 160/200ths of the job.That leaves (200 - 160) = 40/200ths of the job to be done by the 25 women in 8 days.Since 25 women do 40/200ths of the job in 8 days, 25 women do (40/8) = 5/200ths of the job per day.Since 25 women do 5/200ths of the job per day, each woman does (5/25) = 1/5th of 1/200th =1/1000th of the job in one day.One woman, if she can keep going and remain motivated, finishes the job in 1,000 days.=======================================Check:20 men and 25 women finish (20/200) + (25/1000) = (100 + 25) / (1000) = 0.125 job per day.The total job takes this co-ed team (1/0.125) = 8 days to complete. yay !=======================================This purely hypothetical question posits that the man accomplishes work at a rate which is FIVE TIMESthat of the woman. The question is obviously constructed by a man ... one in whom the impressionist,dream-like hemisphere of the brain is just as active as the mathematical, logical hemisphere.


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