SOLUTION: Ten men working six hours a day takes 12 days to complete the job.How long will it take eight men working 12 hours a day to complete the same job?

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Question 1094391: Ten men working six hours a day takes 12 days to complete the job.How long will it take eight men working 12 hours a day to complete the same job?
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
The ten men group work 72 hours to do 1 job.
The eight men group work some 12x hours to do 1 job; using x for how many days.

r, the rate of work of any one man

system%2810r%2A72=1%2C8r%2A12x=1%29

10r%2A72=8r%2A12x

10%2A72=8%2A12%2Ax

x=%2810%2A72%29%2F%288%2A12%29

x=10%2A6%2F8=5%2A6%2F4=5%2A3%2F2
x=15%2F2
or
x=7%261%2F2days