document.write( "Question 1074980: Pkease help solve this problem : One pipe an fill a tank in 5 hours less than another. Together they
\n" ); document.write( "can fill the tank in 5 hours. How long would it take each alone to fill the tank ? Compute the answer
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Algebra.Com's Answer #689650 by ikleyn(52799)\"\" \"About 
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document.write( "Let x = time in hours for the faster pipe to fill the tank alone.\r\n" );
document.write( "Then the time for the other pipe is (x+5) hours.\r\n" );
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document.write( "The faster pipe fills \"1%2Fx\" of the tank volume per hour.\r\n" );
document.write( "The slower pipe fills \"1%2F%28x%2B5%29\" of the tank volume per hour.\r\n" );
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document.write( "Working together, they fill \"1%2Fx+%2B+1%2F%28x%2B5%29\" of the tank volume per hour.\r\n" );
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document.write( "According to the condition,\r\n" );
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document.write( "\"1%2Fx+%2B+1%2F%28x%2B5%29\" = \"1%2F5\".\r\n" );
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document.write( "It is your equation to solve.\r\n" );
document.write( "The first step is to multiply both sides by 5x*(x+5). You will get\r\n" );
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document.write( "5(x+5) + 5x = x*(x+5),   or\r\n" );
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document.write( "5x + 25 + 5x = x^2 + 5x,\r\n" );
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document.write( "x^2 - 5x - 25 = 0.\r\n" );
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document.write( "\"x%5B1%2C2%5D\" = \"%285+%2B-+sqrt+%2825+%2B+4%2A25%29%29%2F2\" = \"%285+%2B-+5%2Asqrt%285%29%29%2F2\".\r\n" );
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document.write( "\"x%5B1%5D\" = \"%285+%2B+5%2Asqrt%285%29%29%2F2\" = 8.1 hours (approximately).\r\n" );
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document.write( "The second root is negative and doesn't work.\r\n" );
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document.write( "Check.  \"1%2F8.1+%2B+1%2F%288.1%2B5%29\" = 0.2.  Correct !\r\n" );
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document.write( "Answer. Faster pipe in 8.1 hours. Slower pipe in 13.1 hours.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For a wide variety of similar solved joint-work problems with detailed explanations see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using Fractions to solve word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Solving more complicated word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
\n" ); document.write( "\n" ); document.write( "    - Using quadratic equations to solve word problems on joint work (*)\r
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\n" ); document.write( "\n" ); document.write( "Read them and get be trained in solving joint-work problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic \"Rate of work and joint work problems\" of the section \"Word problems\".\r
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\n" ); document.write( "\n" ); document.write( "The lesson in the list marked by (*) contains other similar solved problems relevant to yours.\r
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