document.write( "Question 1099571: A tap can fill a tank in 6 mins and another can fill the same tank in 8 mins .How long will it take to fill the tank if the two taps were opened at the same time? \n" ); document.write( "
Algebra.Com's Answer #713998 by Edwin McCravy(20056)\"\" \"About 
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A tap can fill a tank in 6 mins
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document.write( "So the 1st tap's filling rate is \"matrix%281%2C2%2C1%2Ctank%29%2Fmatrix%281%2C2%2C6%2Cmin%29\" or \"matrix%281%2C2%2C1%2F6%2Ctank%2Fmin%29\"\r\n" );
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\n" ); document.write( "and another can fill the same tank in 8 mins .
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document.write( "So the 2nd tap's filling rate is \"matrix%281%2C2%2C1%2Ctank%29%2Fmatrix%281%2C2%2C8%2Cmin%29\" or \"matrix%281%2C2%2C1%2F8%2Ctank%2Fmin%29\"\r\n" );
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\n" ); document.write( "How long will it take to fill the tank if the two taps were opened at the same time?
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document.write( "Let the answer be x mins.\r\n" );
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document.write( "So together they can fill 1 tank in x minutes\r\n" );
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document.write( "So their combined filling rate is \"matrix%281%2C2%2C1%2Ctank%29%2Fmatrix%281%2C2%2Cx%2Cmin%29\" or \"matrix%281%2C2%2C1%2Fx%2Ctank%2Fmin%29\"\r\n" );
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document.write( "Their combined filling rate must be equal to the sum of their \r\n" );
document.write( "filling rates:\r\n" );
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document.write( "\"matrix%281%2C2%2C1%2F6%2Ctank%2Fmin%29\"\"%22%22%2B%22%22\"\"matrix%281%2C2%2C1%2F8%2Ctank%2Fmin%29\"\"%22%22=%22%22\"\"matrix%281%2C2%2C1%2Fx%2Ctank%2Fmin%29\"\r\n" );
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document.write( "\"1%2F6\"\"%22%22%2B%22%22\"\"1%2F8\"\"%22%22=%22%22\"\"1%2Fx\"\r\n" );
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document.write( "Multiply through by the LCD of 24x\r\n" );
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document.write( "\"4x\"\"%22%22%2B%22%22\"\"3x\"\"%22%22=%22%22\"\"24\"\r\n" );
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document.write( "\"7x\"\"%22%22=%22%22\"\"24\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"24%2F7\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"3%263%2F7\"\"minutes\"\r\n" );
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document.write( "Edwin
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