document.write( "Question 885884: andrew can paint the house 6 times as fast as Bailey and together it takes them 7 days. How long does it take each of them alone \n" ); document.write( "

Algebra.Com's Answer #535510 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+R%5Bb%5D+\"$ = Bailey's rate of painting
\n" ); document.write( "Let $\"+R%5Ba%5D+\"$ = Andrew's rate of painting
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+R%5Ba%5D+=+6%2AR%5Bb%5D+\"$
\n" ); document.write( "(2) $\"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F7+\"$
\n" ); document.write( "( Note that $\"+1%2F7+\"$ means ( 1 house painted ) / ( 7 days ) )
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+6%2AR%5Bb%5D+%2B+R%5Bb%5D+=+1%2F7+\"$
\n" ); document.write( "(2) $\"+7%2AR%5Bb%5D+=+1%2F7+\"$
\n" ); document.write( "(2) $\"+R%5Bb%5D+=+1%2F49+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+R%5Ba%5D+=+6%2A%28+1%2F49+%29+\"$
\n" ); document.write( "(1) $\"+R%5Ba%5D+=+6%2F49+\"$
\n" ); document.write( "(1) $\"+R%5Ba%5D+=+1%2F8.1667+\"$
\n" ); document.write( "Bailey's rate is 1 house in 49 days
\n" ); document.write( "Andrew's rate is 1 house in 8.1667 days
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F7+\"$
\n" ); document.write( "(2) $\"+6%2F49+%2B+1%2F49+=+7%2F49+\"$
\n" ); document.write( "(2) $\"+7%2F49+=+7%2F49+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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