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 #835716 by MathTherapy(10551)\"\" \"About 
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document.write( "Hello I'm having trouble setting this problem up. Any help would be appreciated. Thanks.\r\n" );
document.write( " A traveler having 18 miles to go, calculates that his usual rate would make\r\n" );
document.write( "him one-half hour late for an appointment; he finds that in order to arrive on\r\n" );
document.write( "time he must travel at a rate one-half mile an hour faster. What is his usual\r\n" );
document.write( "rate?\r\n" );
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document.write( "Let usual/regular speed be S\r\n" );
document.write( "Then time taken to get to appointment = \"18%2FS\"\r\n" );
document.write( "Increasing speed by \"matrix%281%2C2%2C+1%2F2%2C+mph%29\", or .5 mph means that his new speed to get there on-time is: (S + .5) mph.\r\n" );
document.write( "So, time he'd take to get to the appointment, based on his new speed = \"18%2F%28S+%2B+.5%29\"\r\n" );
document.write( "At the new speed , he'll get there on-time by \"shaving\" \"1%2F2-hour\", or .5 hour off of the previous late-time, or \"18%2FS+-+.5\"\r\n" );
document.write( "We then get the following TIME equation: \"matrix%281%2C3%2C+18%2F%28S+%2B+.5%29%2C+%22=%22%2C+18%2FS+-+.5%29\"\r\n" );
document.write( "                                          \"matrix%281%2C3%2C+18%28S%29%2C+%22=%22%2C+18%28S+%2B+.5%29+-+.5S%28S+%2B+.5%29%29\" ------ Multiplying by LCD, \"S%28S+%2B+.5%29\"\r\n" );
document.write( "                                    \r\n" );
document.write( "                                     \"matrix%281%2C3%2C+2S%5E2+%2B+S+-+36%2C+%22=%22%2C+0%29\" ----- Multiplying by 4\r\n" );
document.write( "                                 (S - 4)(2S + 9) = 0 ----- Factoring trinomial\r\n" );
document.write( "                                  S - 4 = 0            or      2S + 9 = 0\r\n" );
document.write( "           Normal/Usual speed, or S = 4 mph       or      2S = - 9 (ignore)
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