anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
i found this: http://answers.yahoo.com/question/index?qid=20070729140155AAUsPDt
anonymous
  • anonymous
a;1/8 hour b;8/15 hour c; 7/8 hours
anonymous
  • anonymous
@RadEn

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anonymous
  • anonymous
What class is this?
anonymous
  • anonymous
math
anonymous
  • anonymous
I know, but what level of math?
anonymous
  • anonymous
i need help
anonymous
  • anonymous
You need to make a system of equations.
anonymous
  • anonymous
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.
anonymous
  • anonymous
We know that \[ 3r = 5b \]
anonymous
  • anonymous
We also know that \[ (r+b)t = 3r = 5b \]
anonymous
  • anonymous
First solve for \(r\) in terms of \(b\) \[ 3r=5b\implies r = \frac{5}{3}b \]Now plug it into equation 2 \[ \left(\frac{5}{3}b+b\right)t=5b \]
anonymous
  • anonymous
Then solve for \(t\).
RadEn
  • RadEn
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
RadEn
  • RadEn
no correct options there

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