document.write( "Question 1025775: a welder requires 24 hours to do a job. after the welder and apprentice work on the job for 12 hours, the welder quits. the apprentice finished the job in 9 hours. how long would it take the apprentice, working alone, to do the job? \n" ); document.write( "

Algebra.Com's Answer #641092 by josgarithmetic(39630) $\"\"$ $\"About$

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document.write( "WORKER                RATE in JOB/HOUR\r\n" );
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document.write( "Welder                \r\n" );
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document.write( "Apprenctice           \r\n" );
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document.write( "Both Combined         \r\n" );
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\n" ); document.write( "\n" ); document.write( "Unknown time p for the apprenctice, like a pupil, to do the 1 job. Simplify the combined
\n" ); document.write( "rate.
\n" ); document.write( " $\"1%2F24%2B1%2Fp\"$
\n" ); document.write( " $\"%28p%2B24%29%2F%2824p%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "The described situation is welder and apprentice together for 12 hours, and then just the
\n" ); document.write( "apprenctice for 9 hours to finish. One job done.\r
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\n" ); document.write( "\n" ); document.write( "Uniform work rates rule goes as RT=W for RATE, TIME, WORK. Here, the amount of \"work\" done
\n" ); document.write( "is 1 job. One whole job.\r
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\n" ); document.write( "\n" ); document.write( " $\"highlight_green%28%281%2F24%2B1%2Fp%29%2A12%2B%281%2Fp%29%2A9=1%29\"$ -------Be sure this makes sense for you.\r
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\n" ); document.write( "\n" ); document.write( "Simplest common denominator is $\"24p\"$ .
\n" ); document.write( "Multiply left and right sides of the equation by $\"24p\"$ , simplify, and solve for p.
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