document.write( "Question 953335: The difference in the average speed of two trains is 16 miles per hour. The slower
\n" ); document.write( "train takes 2 hours longer to travel 170 miles than the faster train takes to travel
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Algebra.Com's Answer #582165 by josgarithmetic(39800)\"\" \"About 
You can put this solution on YOUR website!
____________________speed__________time___________distance
\n" ); document.write( "SLOW________________r______________t+2____________170
\n" ); document.write( "FAST________________r+16___________t______________150\r
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\n" ); document.write( "\n" ); document.write( "Implied variables;
\n" ); document.write( "RT=D uniform travel rates\r
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\n" ); document.write( "\n" ); document.write( "Two equations in two unknown variables. \r
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\n" ); document.write( "\n" ); document.write( "\"t=150%2F%28r%2B16%29\"
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\n" ); document.write( "\"r%28%28150%2F%28r%2B16%29%29%2B2%29=170\"
\n" ); document.write( "\"150r%2F%28r%2B16%29%2B2r=170\"
\n" ); document.write( "\"150r%2B2r%28r%2B16%29=170%28r%2B16%29\"
\n" ); document.write( "\"150r%2B2r%5E2%2B32=170r%2B170%2A16\"
\n" ); document.write( "\"2r%5E2%2B32=20r%2B170%2A16\"
\n" ); document.write( "\"r%5E2%2B16=10r%2B170%2A8\"
\n" ); document.write( "\"r%5E2-10r%2B16-170%2A8=0\"
\n" ); document.write( "\"highlight_green%28r%5E2-10r-1344=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "PREPARE FOR GENERAL SOLUTION FOR QUADRATIC EQUATION
\n" ); document.write( "Discriminant: \"100%2B4%2A1344=5476=%2874%29%5E2\"
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\n" ); document.write( "\"r=%2810%2B-+74%29%2F2\", obviously the PLUS form is needed.
\n" ); document.write( "\"r=%2810%2B74%29%2F2\"
\n" ); document.write( "\"highlight%28r=42%29\"
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