document.write( "Question 193777: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle. \r
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Algebra.Com's Answer #145505 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle. \n" ); document.write( "------------------------- \n" ); document.write( "d = rt \n" ); document.write( "150 = rt \n" ); document.write( "150 = (r+20)*(t-2) \n" ); document.write( "rt = (r+20)*(t-2) \n" ); document.write( "rt = rt -2r + 20t - 40 \n" ); document.write( "2r - 20t + 40 = 0 \n" ); document.write( "r - 10t + 20 = 0 \n" ); document.write( "-------------- \n" ); document.write( "t = 150/r \n" ); document.write( "r - 1500/r + 20 = 0 \n" ); document.write( "r^2 + 20r - 1500 = 0 \n" ); document.write( "(r+50)*(r-30) = 0 \n" ); document.write( "r = 30 mph (Ignore the negative answer) \n" ); document.write( " \n" ); document.write( " |