document.write( "Question 40666This question is from textbook
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document.write( ": steve traveled 600 miles at a certain speed. had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. \n" );
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Algebra.Com's Answer #26084 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! steve traveled 600 miles at a certain speed. had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.\r \n" ); document.write( "\n" ); document.write( "1st trip Data: \n" ); document.write( "distance = 600 miles; Rate= x mph; Time= 600/x hrs.\r \n" ); document.write( "\n" ); document.write( "2nd trip Data: \n" ); document.write( "Distance=600 miles;Rate=(x+20)mph; Time=600/(x+20)\r \n" ); document.write( "\n" ); document.write( "EQUATION: \n" ); document.write( "1st trip time = 2nd trip time +1 hr. \n" ); document.write( "600/x = 600/(x+20) + 1\r \n" ); document.write( "\n" ); document.write( "600(x+20)=600x+x(x+20) \n" ); document.write( "600x+12000=600x+x^2+20x \n" ); document.write( "x^2+20x-12000=0 \n" ); document.write( "(x+120)(x-100)=0 \n" ); document.write( "x=100 mph (Speed of Steve's vehicle on the 1st trip) \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |