document.write( "Question 895935: it takes you 8 hours to dig a hole. it takes you and your brother 5 hours to dig that same hole together. if your brother were to dig the hole by himself, how long would it take him? \n" ); document.write( "
Algebra.Com's Answer #543324 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
It takes you 8 hours to dig a hole.
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document.write( "Your rate is 1 hole per 8 hours or \r\n" );
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document.write( "\"matrix%281%2C2%2C1%2Chole%29%2Fmatrix%281%2C2%2C8%2Chours%29\" = \"matrix%281%2C2%2C1%2F8%2Chole%2Fhour%29\"\r\n" );
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\n" ); document.write( "if your brother were to dig the hole by himself, how long would it take him?
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document.write( "Let the answer be x hours.\r\n" );
document.write( "Your brother's rate is 1 hole per x hours or \r\n" );
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document.write( "\"matrix%281%2C2%2C1%2Chole%29%2Fmatrix%281%2C2%2Cx%2Chours%29\" = \"matrix%281%2C2%2C1%2Fx%2Chole%2Fhour%29\"\r\n" );
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\n" ); document.write( "it takes you and your brother 5 hours to dig that same hole together.
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document.write( "Then your combined rate is 1 hole per 5 hours or \r\n" );
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document.write( "\"matrix%281%2C2%2C1%2Chole%29%2Fmatrix%281%2C2%2C5%2Chours%29\" = \"matrix%281%2C2%2C1%2F5%2Chole%2Fhour%29\"\r\n" );
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document.write( "The equation comes from:\r\n" );
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document.write( "\"%28matrix%285%2C1%2CYour%2Chole-digging%2Crate%2C+in%2C+%22hole%2Fhour%22%29%29\"\"%22%22%2B%22%22\" \"%22%22=%22%22\" \"%28matrix%286%2C1%2CYour%2Ccombined%2C+hole-digging%2C+rate%2C+in%2C+%22hole%2Fhour%22%29%29\"\r\n" );
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document.write( "So\r\n" );
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document.write( "   \"matrix%281%2C2%2C1%2F8%2Chole%2Fhour%29\"\"%22%22%2B%22%22\"\"matrix%281%2C2%2C1%2Fx%2Chole%2Fhour%29\" \"%22%22=%22%22\" \"matrix%281%2C2%2C1%2F5%2Chole%2Fhour%29\"\r\n" );
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document.write( "      \"1%2F8\"\"%22%22%2B%22%22\"\"1%2Fx\" \"%22%22=%22%22\" \"1%2F5\"\r\n" );
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document.write( "Multiply through by LCD = 40x\r\n" );
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document.write( "      \"5x\"\"%22%22%2B%22%22\"\"40\" \"%22%22=%22%22\" \"8x\"\r\n" );
document.write( "             \r\n" );
document.write( "            \"-3x\"\"%22%22=%22%22\"\"-40\"\r\n" );
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document.write( "             \"x\"\"%22%22=%22%22\"\"%28-40%29%2F%28-3%29\"\r\n" );
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document.write( "             \"x\"\"%22%22=%22%22\"\"40%2F3\"\r\n" );
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document.write( "             \"x\"\"%22%22=%22%22\"\"13%261%2F3\"\"hours\"\r\n" );
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document.write( "Edwin
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