document.write( "Question 463595: The speed of train A is 18 mph slower than the speed of train B. Train A travels 200 miles in the same time it takes train B to travel 290 miles. Find the speed of each train \n" ); document.write( "
Algebra.Com's Answer #317589 by jojo14344(1513)\"\" \"About 
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\n" ); document.write( "Okay, as per given:
\n" ); document.write( "\"S%5BB%5D+=+x+mph\"
\n" ); document.write( "So, \"S%5BA%5D=x-18mph\"\r
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\n" ); document.write( "\n" ); document.write( "Standard Eq'n for \"Speed+=+Distance%2FTime\"
\n" ); document.write( "Therefore,
\n" ); document.write( "\"S%5BA%5D=D%5BA%5D%2FT\" = \"T=+D%5BA%5D%2FS%5BA%5D\"---> Eqn 1
\n" ); document.write( "where, \"D%5BA%5D=200+miles\" in \"T\" time\r
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\n" ); document.write( "\n" ); document.write( "Also, \"S%5BB%5D=D%5BB%5D%2FT\" = \"T=D%5BB%5D%2FS%5BB%5D\" ---> Eqn 2
\n" ); document.write( "where, \"D%5BB%5D=+290miles\" in \"T\" time.\r
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\n" ); document.write( "\n" ); document.write( "Since T is the same, we can cancell it. Equating the 2 Eqns:
\n" ); document.write( "\"D%5BA%5D%2FS%5BA%5D=D%5BB%5D%2FS%5BB%5D\"
\n" ); document.write( "\"200%2F%28x-18%29=290%2Fx\"
\n" ); document.write( "\"200%28x%29=290%28X-18%29\"
\n" ); document.write( "\"200x=290x-5220\"
\n" ); document.write( "\"5220=290x-200x\"
\n" ); document.write( "\"5220=90x\" ----> \"cross%285220%2958%2Fcross%2890%29=cross%2890%29x%2Fcross%2890%29\"
\n" ); document.write( "\"red%28x=58mph%29\" Speed of Train B\r
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\n" ); document.write( "\n" ); document.write( "For Tran A: \"S%5BA%5D=+58-18+=red%2840mph%29\"\r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "\"200%2F40=290%2F58\"
\n" ); document.write( "\"5=5\", oks.\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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