document.write( "Question 869689: A trucker drove 180 miles to make a delivery and returned home on the same route. Because of foggy conditions, his average speed on the return trip was 10 mph less than his average speed going. If the return trip took 3 hours longer, how fast did he drive in each direction?
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document.write( "going___________mph
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document.write( "returning___________mph \r
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document.write( "Help me out this is due tomorrow please! \n" );
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Algebra.Com's Answer #524359 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let forward direction speed =x mph \n" ); document.write( "return speed = x-10\r \n" ); document.write( "\n" ); document.write( "180/x = 180/(x-10)-3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "180/(x-10)-180/x =3\r \n" ); document.write( "\n" ); document.write( "multiply by x(x-10)\r \n" ); document.write( "\n" ); document.write( "180x-180(x-10)=3x(x-10)\r \n" ); document.write( "\n" ); document.write( "180x-180x+1800=3x^2-30x\r \n" ); document.write( "\n" ); document.write( "3x^2-30x-1800=0\r \n" ); document.write( "\n" ); document.write( "/3 \n" ); document.write( "x^2-10x-600=0\r \n" ); document.write( "\n" ); document.write( "x^2-30x+20x-600=0 \n" ); document.write( "x(x-30)+20(x-30)=0 \n" ); document.write( "(x-30)(x+20)=0 \n" ); document.write( "x=30 taking positive value \n" ); document.write( "going = 30 mph \n" ); document.write( "returning = 20 mph \n" ); document.write( " |