SOLUTION: It takes 8 men 3 days to paint the outside of a house how long does it take 6 men to do the same job

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Question 922486: It takes 8 men 3 days to paint the outside of a house how long does it take 6 men to do the same job
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Use the worker-time-job formula, which is:

%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D%22%22=%22%22%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D

where

W1 = the number of workers in the first situation.
T1 = the number of time units (days in this case) in the first situation.
J1 = the number of jobs in the first situation. (1 in this case)

W2 = the number of workers in the second situation.
T2 = the number of time units (days in this case) in the second situation.
J2 = the number of jobs in the second situation. (1 in this case)

W1 =  8             W2 = 6     
T1 =  3             T2 = the unknown quantity 
J1 =  1             J2 = 1

%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D%22%22=%22%22%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D

%288%2A3%29%2F1%22%22=%22%22%286%2AT%5B2%5D%29%2F1

24%22%22=%22%226%2AT%5B2%5D

24%2F6%22%22=%22%22T%5B2%5D 

4%22%22=%22%22T%5B2%5D

Answer: 4 days.

Edwin