document.write( "Question 1201248: Hello I'm having trouble setting this problem up. Any help would be appreciated. Thanks.
\n" ); document.write( " A traveler having 18 miles to go, calculates that his usual rate would make
\n" ); document.write( "him one-half hour late for an appointment; he finds that in order to arrive on
\n" ); document.write( "time he must travel at a rate one-half mile an hour faster. What is his usual
\n" ); document.write( "rate?
\n" ); document.write( "

Algebra.Com's Answer #835536 by josgarithmetic(39616)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Using the description\r\n" );
document.write( "\r\n" );
document.write( "            SPEED        TIME          DIST.\r\n" );
document.write( "\r\n" );
document.write( "USUAL       r            18/r            18\r\n" );
document.write( "\r\n" );
document.write( "FASTER      r+1/2       18/(r+1/2)       18 \r\n" );
document.write( "\r\n" );
document.write( "DIFFERENCE                1/2\r\n" );
document.write( "

\n" ); document.write( "\"18%2Fr-18%2F%28r%2B1%2F2%29=1%2F2\"---------simplify and solve.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"36%2Fr-36%2F%28r%2B1%2F2%29=1\"\r
\n" ); document.write( "\n" ); document.write( "\"36%28r%2B1%2F2%29-36r=r%28r%2B1%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"36r%2B18-36r=r%28r%2B1%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"18=r%28r%2B1%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2%2Br%2F2-18=0\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2%2B%281%2F2%29r-18=0\"\r
\n" ); document.write( "\n" ); document.write( "discrim,\"1%2F4-4%28-18%29=72%261%2F4\"
\n" ); document.write( "\"r=%28-1%2F2%2B+sqrt%2872%261%2F4%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28r=4%29\"
\n" ); document.write( "
\n" );