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
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document.write( "Westbound cyclist = x + 5\r
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document.write( "Eastward cyclist = x\r
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document.write( "After 6 six:\r
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document.write( "Westward cyclist = (x + 5) + 6\r
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document.write( "Eastward cyclist = x + 6\r
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document.write( "My equation is \r
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document.write( "(x + 5) + 6 + x + 6 = 246, which reduces to \r
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document.write( "2x + 17 = 246\r
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document.write( "Is this right? \n" );
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Algebra.Com's Answer #845830 by ikleyn(52810)![]() ![]() 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( " |