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anonymous
 4 years ago
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?
anonymous
 4 years ago
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?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i found this: http://answers.yahoo.com/question/index?qid=20070729140155AAUsPDt

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0a;1/8 hour b;8/15 hour c; 7/8 hours

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I know, but what level of math?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You need to make a system of equations.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Let, \(t\) 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
 4 years ago
Best ResponseYou've already chosen the best response.0We know that \[ 3r = 5b \]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0We also know that \[ (r+b)t = 3r = 5b \]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0First 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
 4 years ago
Best ResponseYou've already chosen the best response.0Then solve for \(t\).

RadEn
 4 years ago
Best ResponseYou've already chosen the best response.0shorcut 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
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