SOLUTION: Brent can paint a room in 6 hr. Working together with Bonnie, they can paint a room in 3 hr. How long would it take Bonnie paint the room by herself? How do I set this equation

Question 137735: Brent can paint a room in 6 hr. Working together with Bonnie, they can paint a room in 3 hr. How long would it take Bonnie paint the room by herself? How do I set this equation up to solve?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Brent can paint a room in 6 hr. Working together with Bonnie, they can paint a room in 3 hr. How long would it take Bonnie paint the room by herself? How do I set this equation up to solve?
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You can't add the times; you have to add the rates.
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Brent DATA;
Time = 6 hr/job ; Rate = 1/6 job/hr.
---------------------
Together DATA:
Time = 3 hr/job ; Rate = 1/3 job/hr.
------------------------
Bonnie DATA:
Time = x hr/job ; Rate = 1/x job/hr
======================================
EQUATION:
rate + rate = together rate
1/6 + 1/x = 1/3
x + 6 = 2x
x = 6 (amount of time Bonnie requires to do the job alone)
================
Cheers,
Stan H.

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