document.write( "Question 630731: A group of 40 workers can finish digging a tunnel in 12 days. how many workers can finish the job in 8 days?
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Algebra.Com's Answer #397102 by Edwin McCravy(20056)\"\" \"About 
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A group of 40 workers can finish digging a tunnel in 12 days. how many workers can finish the job in 8 days.
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document.write( "First way:  The least common multiple of 12 days and 8 days is 24 days.\r\n" );
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document.write( ">>...A group of 40 workers  can finish digging a tunnel in 12 days...<<\r\n" );
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document.write( "Therefore half as many workers (20 workers) could dig it in twice as many\r\n" );
document.write( "days (24 days).\r\n" );
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document.write( "Therefore it would take 3 times as many workers (60 workers) to dig it\r\n" );
document.write( "in one-third of 24 days (8 days).\r\n" );
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document.write( "Answer: 60 workers.\r\n" );
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document.write( "Second way:\r\n" );
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document.write( "Use the job-worker-time 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 = 40            W2 = the unknown quantity     \r\n" );
document.write( "T1 = 12            T2 = 8 \r\n" );
document.write( "J1 = 1             J2 = 1\r\n" );
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document.write( "[There was only 1 tunnel, so the number of jobs in both situations is 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" );
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document.write( "\"%2840%2A12%29%2F1\"\"%22%22=%22%22\"\"%28W%5B2%5D%2A8%29%2F1\"\r\n" );
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document.write( "     480 = 8W2\r\n" );
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document.write( "Divide both sides by 8\r\n" );
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document.write( "      60 = W2\r\n" );
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document.write( "Answer: 60 workers.\r\n" );
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document.write( "Edwin

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