document.write( "Question 886043: A tank is filled in 9 hrs. and drained in 11 hrs. How long will it take to fill the tank if the drain is left half open. \n" ); document.write( "
Algebra.Com's Answer #535701 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "A tank is filled in 9 hrs. \r\n" );
document.write( "\r\n" );
document.write( "So the fill rate is 1 tank per 9 hrs or\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C2%2C1%2Ctank%29%2Fmatrix%281%2C2%2C9%2Chrs%29\" or \"matrix%281%2C2%2C1%2F9%2Ctank%2Fhr%29\",\r\n" );
document.write( "\r\n" );
document.write( "and the drain rate is -1 tank per 11 hrs or\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C2%2C-1%2Ctank%29%2Fmatrix%281%2C2%2C11%2Chrs%29\" or \"matrix%281%2C2%2C-1%2F11%2Ctank%2Fhr%29\".\r\n" );
document.write( "\r\n" );
document.write( "Since the drain is only half open, it's rate is halved\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C2%2Cexpr%281%2F2%29%2A%28-1%2F11%29%2Ctank%2Fhr%29\" or \"matrix%281%2C2%2C-1%2F22%2Ctank%2Fhr%29\"\r\n" );
document.write( "\r\n" );
document.write( "Their combined rate is \"matrix%281%2C2%2C1%2F9-1%2F22%2Ctank%2Fhr%29\" or\r\n" );
document.write( "\r\n" );
document.write( "since \"1%2F9-1%2F22=22%2F198-9%2F198=13%2F198\"\r\n" );
document.write( "\r\n" );
document.write( "their combined fill rate is \"matrix%281%2C2%2C13%2F198%2Ctank%2Fhr%29\"\r\n" );
document.write( "\r\n" );
document.write( "Suppose it takes x hours.  Then\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C2%2C13%2F198%2Ctank%2Fhr%29\"\"%22%22%2A%22%22\"\"matrix%281%2C2%2Cx%2Chr%29\" \"%22%22=%22%22\" \"matrix%281%2C2%2C1%2Ctank%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"expr%2813%2F198%29%2Ax\"\"%22%22=%22%22\"\"1\"\r\n" );
document.write( "\r\n" );
document.write( "\"x\"\"%22%22=%22%22\"\"198%2F13\"\"%22%22=%22%22\"\"matrix%281%2C2%2C15%263%2F13%2Chours%29\" \r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "
\n" ); document.write( "
\n" );