document.write( "Question 1207768: Two cyclists leave a city at the same time, one going east and the other going west. The westbound cyclist bikes 5 mph faster than the eastbound cyclist.After 6 hours they are 246 miles apart. How fast is each cyclist riding?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Westbound cyclist = x + 5\r
\n" ); document.write( "\n" ); document.write( "Eastward cyclist = x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "After 6 six:\r
\n" ); document.write( "\n" ); document.write( "Westward cyclist = (x + 5) + 6\r
\n" ); document.write( "\n" ); document.write( "Eastward cyclist = x + 6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My equation is \r
\n" ); document.write( "\n" ); document.write( "(x + 5) + 6 + x + 6 = 246, which reduces to \r
\n" ); document.write( "\n" ); document.write( "2x + 17 = 246\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Is this right?
\n" ); document.write( "

Algebra.Com's Answer #845830 by ikleyn(52810)\"\" \"About 
You can put this solution on YOUR website!
..\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "                It is  FATALLY  wrong.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In your setup,  you write\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "After 6 six:
\n" ); document.write( "Westward cyclist = (x+5)+6
\n" ); document.write( "Eastward cyclist = x+6.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Here you add velocity,  which is miles per hour,  with hours.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is out of logic,  since adding quantities with different dimension units is nonsense.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is the same as to add eggs with nails hoping to get square miles.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore,  your final equation is incorrect and makes no sense.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "    +------------------------------------------------------------------+\r\n" );
document.write( "    |      By the way, it is a powerful method of self-checking        |\r\n" );
document.write( "    |             to check on the way of making setup,                 |\r\n" );
document.write( "    |      if you add quantities with the same dimension units.        |\r\n" );
document.write( "    +------------------------------------------------------------------+\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a typical  Travel & Distance  problem for beginners.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For simple  Travel & Distance problems,  see introductory lessons \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "They are written specially for you.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar typical  Travel & Distance  problems there.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "//////////////////////\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "By the way, this problem was solved at this forum many years ago (perhaps, 20 years ago).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "See the solution under this link\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.96486.html\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );