document.write( "Question 249302: A carpenter and his partner can put up a patio cover in 3 3/7 hours. If the partner needs 8 hours to complete the patio alone, how long would it take the carpenter working alone? \n" ); document.write( "
Algebra.Com's Answer #181853 by ankor@dixie-net.com(22740)\"\" \"About 
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A carpenter and his partner can put up a patio cover in 3 3/7 hours.
\n" ); document.write( " If the partner needs 8 hours to complete the patio alone, how long would it take the carpenter working alone?
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\n" ); document.write( "Let c = time required when carpenter works alone
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\n" ); document.write( "Change 3 3/7 to \"24%2F7\"
\n" ); document.write( "Let the completed job = 1
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\n" ); document.write( "A typical shared work equation
\n" ); document.write( "\"%2824%2F7%29%2Fc\" + \"%2824%2F7%29%2F8\" = 1
\n" ); document.write( "multiply by 8c, results
\n" ); document.write( "8\"%2824%2F7%29\" + c\"%2824%2F7%29\" = 8c
\n" ); document.write( "multiply by 7, results
\n" ); document.write( "8(24) + 24c = 7(8c)
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\n" ); document.write( "192 + 24c = 56c
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\n" ); document.write( "192 = 56c - 24c
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\n" ); document.write( "192 = 32c
\n" ); document.write( "c = \"192%2F32\"
\n" ); document.write( "c = 6 hrs, the carpenter working alone
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