document.write( "Question 1079215: 5 men are hired to complete a job. If one more man is hired, the job can be completed 8 days earlier. Assuming that all the men work at the same rate, how many more men should be hired so that the job can be completed 28 days earlier? \n" ); document.write( "
Algebra.Com's Answer #693549 by AnlytcPhil(1807)\"\" \"About 
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document.write( "I believe that 7 more workers are needed:\r\n" );
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\n" ); document.write( "5 men are hired to complete a job. If one more man is hired, the
\n" ); document.write( "job can be completed 8 days earlier. Assuming that all the men
\n" ); document.write( "work at the same rate, how many more men should be hired so that
\n" ); document.write( "the job can be completed 28 days earlier?
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document.write( "Use the worker-time-job formula, which is:\r\n" );
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document.write( "\"%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D\"\"%22%22=%22%22\"\"%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D\"\r\n" );
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document.write( "where\r\n" );
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document.write( "W1 = the number of workers in the first situation.\r\n" );
document.write( "T1 = the number of time units (days in this case) in the first situation.\r\n" );
document.write( "J1 = the number of jobs in the first situation.\r\n" );
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document.write( "W2 = the number of workers in the second situation.\r\n" );
document.write( "T2 = the number of time units (days in this case) in the second situation.\r\n" );
document.write( "J2 = the number of jobs in the second situation.\r\n" );
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document.write( "W1 =  5             W2 = 6     \r\n" );
document.write( "T1 =  x days        T2 = x-8 days \r\n" );
document.write( "J1 =  1             J2 = 1\r\n" );
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document.write( "\"%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D\"\"%22%22=%22%22\"\"%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D\"\r\n" );
document.write( "\r\n" );
document.write( "\"%285%2Ax%29%2F1\"\"%22%22=%22%22\"\"%286%2A%28x-8%29%29%2F1\"\r\n" );
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document.write( "\"5%2Ax\"\"%22%22=%22%22\"\"6%2Ax-48\"\r\n" );
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document.write( "\"-x\"\"%22%22=%22%22\"\"-48\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"48\"\r\n" );
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document.write( "So it takes 48 days for 5 workers to do the job.\r\n" );
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document.write( "Now we use the worker-time-job formula again with N more workers than 5,\r\n" );
document.write( "or 5+N workers, and 28 days less than 48 or 10 days.\r\n" );
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document.write( "\"%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D\"\"%22%22=%22%22\"\"%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D\"\r\n" );
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document.write( "this time with\r\n" );
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document.write( "W1 = 5             W2 = 5+N     \r\n" );
document.write( "T1 = 48 days       T2 = 48-28=20 days \r\n" );
document.write( "J1 = 1             J2 = 1\r\n" );
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document.write( "\"%285%2A48%29%2F1\"\"%22%22=%22%22\"\"%28%285%2BN%29%2A20%29%2F1\"\r\n" );
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document.write( "\"240\"\"%22%22=%22%22\"\"20%285%2BN%29\"\r\n" );
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document.write( "\"240\"\"%22%22=%22%22\"\"100%2B20N\"\r\n" );
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document.write( "\"140\"\"%22%22=%22%22\"\"20N\"\r\n" );
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document.write( "\"7\"\"%22%22=%22%22\"\"N\"\r\n" );
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document.write( "So 7 more workers will be needed.\r\n" );
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document.write( "Edwin
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