document.write( "Question 894909: A motorist covers a distance of 210km. If his average velocity was 10km/h more, he would have completed the distance in half an hour less. \r
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document.write( "Calculate his average speed.\r
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document.write( "Thanks. \n" );
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Algebra.Com's Answer #542448 by richwmiller(17219) You can put this solution on YOUR website! r*t=d \n" ); document.write( "r*t=210 \n" ); document.write( "(r+10)*(t-1/2)=210 \n" ); document.write( "r*t=(r+10)*(t-1/2) \n" ); document.write( "rt+10t-r/2-5=210 \n" ); document.write( "10t-r/2-5=0 \n" ); document.write( "10*210/r-r/2-5=0 \n" ); document.write( "2100/r-r/2-5=0 \n" ); document.write( "4200-r^2-10r=0 \n" ); document.write( "r^2+10r-4200=0 \n" ); document.write( "(r-60)*(r+70)=0 \n" ); document.write( "r=60 t=3.5 \n" ); document.write( "check \n" ); document.write( "60*3.5=210 \n" ); document.write( "70*3=210 \n" ); document.write( "ok\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |