document.write( "Question 1125793: The foreman at a contracting company is distributing his employees to different
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document.write( "jobs this week. Each work day begins at 8am. He has one job in particular that must
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document.write( "be completed by 1pm on Monday. The foreman separates his workers into two categories,
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document.write( "experienced and inexperienced. The foreman estimates that an experienced worker could
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document.write( "complete the job in 9 hours on his own, and an inexperienced worker could complete the
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document.write( "job in 12 hours alone. Assume that no e_ciency is gained or lost when the employees
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document.write( "work together. Could two experienced workers complete the job in time? What about two
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document.write( "inexperienced workers? Can one experienced worker and one inexperienced worker complete
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document.write( "the job in time? If experienced workers are paid $26 per hour and inexperienced workers
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document.write( "are paid $12 per hour, and at least one experienced worker must be present at the job, what
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document.write( "should the foreman choose to do? Assume that workers are paid in hour increments, so that
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document.write( "if the job takes 5 hours and 10 minutes, everyone is paid for the full 6 hours.
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Algebra.Com's Answer #742120 by Boreal(15235) You can put this solution on YOUR website! experienced does 1/9 of the job in an hour or x/9 of the job in x hours \n" ); document.write( "inexperienced will do x/12 of the job in x hours \n" ); document.write( "(x/9)+(x/12)=1 whole job \n" ); document.write( "4x+3x=36 \n" ); document.write( "7x=36 \n" ); document.write( "x=36/7 or 5.14 hours or 5 hours and 8.5 minutes \n" ); document.write( "An experienced and an inexperienced worker cannot finish the job in time.\r \n" ); document.write( "\n" ); document.write( "x/9+x/9=1 \n" ); document.write( "2x=9 \n" ); document.write( "x=4.5 hours for experienced workers, and they can finish the job on time.\r \n" ); document.write( "\n" ); document.write( "two inexperienced would require 6 hours using the same approach.\r \n" ); document.write( "\n" ); document.write( "For a 5 hour deadline, the cost would be $130 per experienced worker, working 4.5 hours and being paid for 5, and double for 2 or $260. \n" ); document.write( " \n" ); document.write( " |