document.write( "Question 583032: a welder requires 25 hours to do a job. after the welder and an apprentice work on a job for 10 hours the wilder quits, the apprentice finishes the job in 17 hours. How long would it take the apprentice, working alone, to do the job \n" ); document.write( "

Algebra.Com's Answer #372363 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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a welder requires 25 hours to do a job.
\n" ); document.write( " after the welder and an apprentice work on a job for 10 hours the wilder quits, the apprentice finishes the job in 17 hours.
\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 information given, we see the apprentice worked a total of 27 hrs
\n" ); document.write( ":
\n" ); document.write( " $\"10%2F25\"$ + $\"27%2Fa\"$ = 1
\n" ); document.write( "multiply by 25a, results
\n" ); document.write( "10a + 25(27) = 25a
\n" ); document.write( "10a + 675 = 25a
\n" ); document.write( "675 = 25a - 10a
\n" ); document.write( "675 = 15a
\n" ); document.write( "a = $\"675%2F15\"$
\n" ); document.write( "a = 45 hrs, the apprentice working alone \n" ); document.write( "

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