document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #100719 by stanbon(75887)\"\" \"About 
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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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\n" ); document.write( "You can't add the times; you have to add the rates.
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\n" ); document.write( "Brent DATA;
\n" ); document.write( "Time = 6 hr/job ; Rate = 1/6 job/hr.
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\n" ); document.write( "Together DATA:
\n" ); document.write( "Time = 3 hr/job ; Rate = 1/3 job/hr.
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\n" ); document.write( "Bonnie DATA:
\n" ); document.write( "Time = x hr/job ; Rate = 1/x job/hr
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\n" ); document.write( "EQUATION:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/6 + 1/x = 1/3
\n" ); document.write( "x + 6 = 2x
\n" ); document.write( "x = 6 (amount of time Bonnie requires to do the job alone)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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