SOLUTION: Sally can paint a room in 4 hours while it takes Steve 6 hours to paint the same room. How long would it take them to paint the room if they worked together?

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Question 263123: Sally can paint a room in 4 hours while it takes Steve 6 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
This is a working together or job / time problem.
We are given
Sally's rate = 1/4
Steve's rate = 1/6
together time = x total jobs = 1
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we use the following equation:
%28J1%2FT1%29%2Ax+%2B+%28J2%2FT2%29%2Ax+=+Tj
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from above we get
%281%2F4%29x%2B%281%2F6%29x+=+1
multiply by 12 to get
3x+%2B+2x+=+12
solve for x as
5x+=+12
and then
x+=+12%2F5
or 2.4 hours.