A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 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
 3 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?

This Question is Closed

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

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

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

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

anonymous
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0We know that \[ 3r = 5b \]

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

anonymous
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0Then solve for \(t\).

RadEn
 3 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
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.