document.write( "Question 973125: Mr. Castro drove 30 miles in the construction zone, and 120 miles on the
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document.write( "highway. The total time for his trip was 3 hours, Find his speed on the
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document.write( "highway if he was driving 30 miles per hour faster on the highway.
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Algebra.Com's Answer #595370 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Mr. Castro drove 30 miles in the construction zone, and 120 miles on the \n" ); document.write( "highway. The total time for his trip was 3 hours, Find his speed on the \n" ); document.write( "highway if he was driving 30 miles per hour faster on the highway. \n" ); document.write( "*** \n" ); document.write( "let x=Mr. Castro's speed in the construction zone \n" ); document.write( "x+30=Mr. Castro's speed on the highway \n" ); document.write( "travel time=distance/speed \n" ); document.write( ".. \n" ); document.write( " \n" ); document.write( "lcd:x(x+30) \n" ); document.write( "30(x+30)+120x=3x(x+30) \n" ); document.write( "30x+900+120x=3x^2+90x \n" ); document.write( "3x^2-60x-900=0 \n" ); document.write( "x^2-20x-300=0 \n" ); document.write( "(x+10)(x-30)=0 \n" ); document.write( "x=30 \n" ); document.write( "x+30=60 \n" ); document.write( "Mr. Castro's speed on the highway=60 mph \n" ); document.write( " |