document.write( "Question 896101: A farmer plows the field using a tractor in 5 days. His father can do the same job in 9 days. How many days will it take them working together? \n" ); document.write( "
Algebra.Com's Answer #543318 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
A farmer plows the field using a tractor in 5 days.
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document.write( "The farmer's rate is 1 field per 5 days or \r\n" );
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document.write( "\"matrix%281%2C2%2C1%2Cfield%29%2Fmatrix%281%2C2%2C5%2Cdays%29\" = \"matrix%281%2C2%2C1%2F5%2Cfield%2Fday%29\"\r\n" );
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\n" ); document.write( "His father can do the same job in 9 days.
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document.write( "His father's rate is 1 field per 9 days or \r\n" );
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document.write( "\"matrix%281%2C2%2C1%2Cfield%29%2Fmatrix%281%2C2%2C9%2Cdays%29\" = \"matrix%281%2C2%2C1%2F9%2Cfield%2Fday%29\"\r\n" );
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\n" ); document.write( "How many days will it take them working together?
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document.write( "Let the answer be x days.\r\n" );
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document.write( "Then their combined rate is 1 field per x days or \r\n" );
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document.write( "\"matrix%281%2C2%2C1%2Cfield%29%2Fmatrix%281%2C2%2Cx%2Cdays%29\" = \"matrix%281%2C2%2C1%2Fx%2Cfield%2Fday%29\"\r\n" );
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document.write( "The equation comes from:\r\n" );
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document.write( "\"%22%22%2B%22%22\" \"%22%22=%22%22\" \"%28matrix%286%2C1%2CTheir%2Ccombined%2C+plowing%2C+rate%2C+in%2C+%22field%2Fday%22%29%29\"\r\n" );
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document.write( "So\r\n" );
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document.write( "   \"matrix%281%2C2%2C1%2F5%2Cfield%2Fday%29\"\"%22%22%2B%22%22\"\"matrix%281%2C2%2C1%2F9%2Cfield%2Fday%29\" \"%22%22=%22%22\" \"matrix%281%2C2%2C1%2Fx%2Cfield%2Fday%29\"\r\n" );
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document.write( "      \"1%2F5\"\"%22%22%2B%22%22\"\"1%2F9\" \"%22%22=%22%22\" \"1%2Fx\"\r\n" );
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document.write( "Multiply through by LCD = 45x\r\n" );
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document.write( "      \"9x\"\"%22%22%2B%22%22\"\"5x\" \"%22%22=%22%22\" \"45\"\r\n" );
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document.write( "            \"14x\"\"%22%22=%22%22\"\"45\"\r\n" );
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document.write( "             \"x\"\"%22%22=%22%22\"\"45%2F14\"\r\n" );
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document.write( "             \"x\"\"%22%22=%22%22\"\"3%263%2F14\"\"days\"\r\n" );
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document.write( "Edwin
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