document.write( "Question 38229: It takes Chris 1 1/2 times as long to clean the kitchen as Allison. It takes Allison 1 2/3 times as long to clean the kitchen as Barry. If Chris, Allison and Barry work together, they can clean the kitchen in 3 hours. How long would it take Chris to clean the kitchen alone? Any assistance would be greatly appreciated!
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Algebra.Com's Answer #23717 by stanbon(75887)\"\" \"About 
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It takes Chris 1 1/2 times as long to clean the kitchen as Allison. It takes Allison 1 2/3 times as long to clean the kitchen as Barry. If Chris, Allison and Barry work together, they can clean the kitchen in 3 hours. How long would it take Chris to clean the kitchen alone? Any assistance would be greatly appreciated!\r
\n" ); document.write( "\n" ); document.write( "Let Barry's time be \"x\" hrs. His rate is 1/x job/hr.
\n" ); document.write( "Then Allison's time is (5/3)x. Her rate is 3/5x job/hr.
\n" ); document.write( "And Chris's time is (3/2)(5/3)x=(5/2)x hrs. His rate is 2/5x job/hr.
\n" ); document.write( "Together their time is 3 hrs. Their combined rate is 1/3 job/hr.
\n" ); document.write( "EQUATION:
\n" ); document.write( " Barry rate + Allison rate + Chris rate = 1/3 job/hr
\n" ); document.write( " 1/x + 3/5x + 2/5x = 1/3
\n" ); document.write( "Multiply thru by 15x to get:
\n" ); document.write( " 15 +9 + 6 =5x
\n" ); document.write( " 30=5x
\n" ); document.write( " x=6
\n" ); document.write( "Chris would take (5/2)6 = 15 hrs.\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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