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If Jim Roller can paint a room in 3 hours while John Brush would take 5 hours, how long will they take if they work together?

Mathematics
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i found this: http://answers.yahoo.com/question/index?qid=20070729140155AAUsPDt
a;1/8 hour b;8/15 hour c; 7/8 hours

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Other answers:

What class is this?
math
I know, but what level of math?
i need help
You need to make a system of equations.
Let, \(t\) be the time it takes to paint the room. \(r\) is the rate that Roller to paints it, \(b\) is the rate that Brush paints it.
We know that \[ 3r = 5b \]
We also know that \[ (r+b)t = 3r = 5b \]
First solve for \(r\) in terms of \(b\) \[ 3r=5b\implies r = \frac{5}{3}b \]Now plug it into equation 2 \[ \left(\frac{5}{3}b+b\right)t=5b \]
Then solve for \(t\).
shorcut way : 3*5/(3+5) = 15/8 long way :p v1+v2 = x/3 + x/5 = 8x/15 = x/(15/8) so, if they work together will take 15/8 hours
no correct options there

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