SOLUTION: 3 men and 6 women finish a job in 9 days while 2 men and 8 women finish it in 12 days.in hie many days will 12 women working alone will finish the same job

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Question 881575: 3 men and 6 women finish a job in 9 days while 2 men and 8 women finish it in 12 days.in hie many days will 12 women working alone will finish the same job
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
y = man rate
x = woman rate

, the first combination described


, the second combination described


First combination,


substitute into second combination,







, meaning one woman does 1 job in 378 days working alone.

Man rate:




, the one man rate, two jobs in 63 days working alone.

To answer the question, the expression for 12 women doing the one job will be
Let t = time in days;

Solve for t.

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