document.write( "Question 522450: A roofer requires 10 h to shingle a roof. After the roofer and an apprentice work on a roof for 6 h, the roofer moves on to another job. The apprentice requires 8 more hours to finish the job. How long would it take the apprentice, working alone, to do the job?
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Algebra.Com's Answer #346895 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A roofer requires 10 h to shingle a roof.
\n" ); document.write( " After the roofer and an apprentice work on a roof for 6 h, the roofer moves on to another job.
\n" ); document.write( " The apprentice requires 8 more hours to finish the job.
\n" ); document.write( " How long would it take the apprentice, working alone, to do the job?
\n" ); document.write( ":
\n" ); document.write( "Let a = time required by the apprentice to do the job
\n" ); document.write( "Let the completed job = 1
\n" ); document.write( ":
\n" ); document.write( "From the given information, we know the roofer worked 6 hrs, the apprentice 14 hrs
\n" ); document.write( ":
\n" ); document.write( "Write a shared work equation
\n" ); document.write( " $\"6%2F10\"$ + $\"14%2Fa\"$ = 1
\n" ); document.write( "multiply 10a, results:
\n" ); document.write( "6a + 10(14) = 10a
\n" ); document.write( "140 = 10a - 6a
\n" ); document.write( "140 = 4a
\n" ); document.write( "a = $\"140%2F4\"$
\n" ); document.write( "a = 35 hrs apprentice working alone
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\n" ); document.write( "Check this out,
\n" ); document.write( " $\"6%2F10\"$ + $\"14%2F35\"$ =
\n" ); document.write( ".6 + .4 = 1 \n" ); document.write( "

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