document.write( "Question 86024: During rush hour, Adriana can drive 40 miles using the side roads in the same time that it takes to travel 20 miles on the freeway. If Adriana's rate on the side roads is 9mi/h faster than her rate on the freeway, find her rate on the side roads. \r
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document.write( "To keep it short, my answer is 11. Am I right? \n" );
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Algebra.Com's Answer #62172 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! During rush hour, Adriana can drive 40 miles using the side roads in the same time that it takes to travel 20 miles on the freeway. If Adriana's rate on the side roads is 9mi/h faster than her rate on the freeway, find her rate on the side roads. \n" ); document.write( "To keep it short, my answer is 11. Am I right? \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "No, it's 18 mph. You can think out the answer without algebra. She can go\r\n" ); document.write( "twice as fasr on the side roads as on the freeway, and the only way \"twice as\r\n" ); document.write( "fast\" can be \"9 mph faster\" is for the slower rate to be 9 mph and the faster\r\n" ); document.write( "rate to be 18 mph. \r\n" ); document.write( "\r\n" ); document.write( "But here's the algebraic way:\r\n" ); document.write( "\r\n" ); document.write( "Make this chart:\r\n" ); document.write( "\r\n" ); document.write( " DISTANCE RATE TIME\r\n" ); document.write( "Side roads \r\n" ); document.write( "\r\n" ); document.write( "Freeway \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Fill in the distances:\r\n" ); document.write( "\r\n" ); document.write( " DISTANCE RATE TIME\r\n" ); document.write( "Side roads 40 \r\n" ); document.write( "\r\n" ); document.write( "Freeway 20 \r\n" ); document.write( "\r\n" ); document.write( "Let the rate on the Freeway be x. Then the rate on the\r\n" ); document.write( "side roads is x+9. Fill those in\r\n" ); document.write( "\r\n" ); document.write( " DISTANCE RATE TIME\r\n" ); document.write( "Side roads 40 x+9 \r\n" ); document.write( "\r\n" ); document.write( "Freeway 20 x \r\n" ); document.write( "\r\n" ); document.write( "Now fill in the times by using\n" ); document.write( " |