document.write( "Question 547151: \"A HOSE can fill a swimming pool in 6 hours. Another HOSE needs three more hours than the two HOSES combined. How long would it take for the second PIPE to fill the tank? \n" ); document.write( "

Algebra.Com's Answer #356263 by Edwin McCravy(20055) $\"\"$ $\"About$

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A hose can fill a swimming pool in 6 hours. Another hose needs three more hours than the two hoses combined. How long would it take for the second pipe to fill the tank?
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document.write( "Make this chart:\r\n" );
document.write( "                   Number of        Hours          Rate \r\n" );
document.write( "                   swimming       Required          in\r\n" );
document.write( "                 pools filled      to fill      pools/hr\r\n" );
document.write( "1st hose                             \r\n" );
document.write( "2nd hose                             \r\n" );
document.write( "both combined\r\n" );
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document.write( "Let x be the number of hours required for the 2nd hose.\r\n" );
document.write( "Fill that in for the time for the second hose, and fill in\r\n" );
document.write( "the given 6 hours for the 1st hose.\r\n" );
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document.write( "                   Number of        Hours          Rate \r\n" );
document.write( "                   swimming       Required          in\r\n" );
document.write( "                 pools filled      to fill      pools/hr\r\n" );
document.write( "1st hose alone                        6\r\n" );
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document.write( "2nd hose alone                        x\r\n" );
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document.write( "both combined\r\n" );
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\n" ); document.write( ">>...Another hose needs three more hours than the two hoses combined...<<
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document.write( "Let's re-interpret that as:\r\n" );
document.write( "

\n" ); document.write( ">>...The two hoses combined takes three hours less than the 2nd hose alone...<<
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document.write( "So we fill in x-3 for the hours for them combined:\r\n" );
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document.write( "                   Number of        Hours          Rate \r\n" );
document.write( "                   swimming       Required          in\r\n" );
document.write( "                 pools filled      to fill      pools/hr\r\n" );
document.write( "1st hose alone                        6\r\n" );
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document.write( "2nd hose alone                        x\r\n" );
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document.write( "both combined                        x-3\r\n" );
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document.write( "In each case exactly 1 pool was filled, so put 1 for the\r\n" );
document.write( "number of swimming pools filled in each case:\r\n" );
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document.write( "                   Number of        Hours          Rate \r\n" );
document.write( "                   swimming       Required          in\r\n" );
document.write( "                 pools filled      to fill      pools/hr\r\n" );
document.write( "1st hose alone        1               6\r\n" );
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document.write( "2nd hose alone        1               x\r\n" );
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document.write( "both combined         1              x-3\r\n" );
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document.write( "Fill in the rates in pools/hr by dividing pools filled by hours:\r\n" );
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document.write( "                   Number of        Hours          Rate \r\n" );
document.write( "                   swimming       Required          in\r\n" );
document.write( "                 pools filled      to fill      pools/hr\r\n" );
document.write( "1st hose alone        1               6            \r\n" );
document.write( "2nd hose alone        1               x            \r\n" );
document.write( "both combined         1              x-3           \r\n" );
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document.write( "            The equation comes from:\r\n" );
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document.write( "               +  =     \r\n" );
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document.write( "               +  = \r\n" );
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document.write( "Solve that and get 6 hours\r\n" );
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document.write( "Edwin

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