document.write( "Question 154325This question is from textbook
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document.write( ": Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. \n" );
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Algebra.Com's Answer #113629 by stanbon(75887) ![]() You can put this solution on YOUR website! Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. \n" ); document.write( "--------------------- \n" ); document.write( "Original speed data: \n" ); document.write( "distance = 200 miles ; rate = x hours ; rate = 200/x mph \n" ); document.write( "------------------ \n" ); document.write( "New speed Data \n" ); document.write( "distance = 200 miles ; rate = x + 10 hrs; rate = 200/(x+10) mph \n" ); document.write( "------------------- \n" ); document.write( "EQUATION \n" ); document.write( "old time - new time = 1 \n" ); document.write( "200/x - 200/(x+10) = 1 \n" ); document.write( "200x + 2000 - 200x = x^2+10x \n" ); document.write( "x^2 + 10x -2000 = 0 \n" ); document.write( "(x-20)(x+10) = 0 \n" ); document.write( "Positive answer: \n" ); document.write( "x = 20 mph (original speed) \n" ); document.write( "x+10 = 30 mph (new speed \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |