SOLUTION: If 3 people can paint 2 fences in 4 days, how long will it take 2 people to paint 1 fence?

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Question 831526: If 3 people can paint 2 fences in 4 days, how long will it take 2 people to paint 1 fence?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
There are several ways to approach a problem like this. 
The easiest way is to 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.

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.

W1 = 3             W2 = 2     
T1 = 4             T2 = the unknown quantity 
J1 = 2             J2 = 1

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

%283%2A4%29%2F2%22%22=%22%22%282%2AT%5B2%5D%29%2F1

12%2F2%22%22=%22%222T%5B2%5D

6%22%22=%22%222T%5B1%5D

3%22%22=%22%22T%5B1%5D

Answer: 3 days.

Edwin