document.write( "Question 1163952: 2 people walk towards each other on a road. It takes the first person 2 hours to walk the road, it takes the 2nd person 3 hours to walk the road. When they meet, the first person walked 4 and 4/5 of a mile more than the 2nd person. How long is the road? \n" ); document.write( "

Algebra.Com's Answer #788201 by ikleyn(52776) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Two persons walk towards each other on a road. It takes the first person 2 hours to walk the road, it takes the 2nd person 3 hours to walk the road.
\n" ); document.write( "When they meet, the first person walked 4 and 4/5 of a mile more than the 2nd person. How long is the road?
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Since their times to cover the entire distance are in the ratio   = , it means that their rates are in reciprocal ratio   = .\r\n" );
document.write( "\r\n" );
document.write( "In turn, it means that going toward each other, they cover the distances, whose ratio is the same as the ratio of their speeds, i.e. .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, if \"d\" is the total one way distance, then the first person covered    of the distance, while the second covered    of the distance.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then from the condition, you have this equation\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     -  =    miles,   or\r\n" );
document.write( "\r\n" );
document.write( "   \r\n" );
document.write( "     =  miles,\r\n" );
document.write( "\r\n" );
document.write( "    d   = 24 miles.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice that the solution by the tutor @htmentor is incorrect, since he incorrectly interprets the condition.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );