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
\n" ); document.write( "\n" ); document.write( "Calculate his average speed.\r
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Algebra.Com's Answer #542448 by richwmiller(17219)\"\" \"About 
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
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\n" ); document.write( "60*3.5=210
\n" ); document.write( "70*3=210
\n" ); document.write( "ok\r
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