document.write( "Question 122739: I am having major problems with this word problem:\r
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document.write( "On a round trip of 252 miles in each direction, the average rate of travel going was 7 mph more than the rate returning. Find the rate for each direction if the entire trip took 21 hours. \n" );
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Algebra.Com's Answer #90095 by checkley71(8403) ![]() You can put this solution on YOUR website! 252/(x+7)+252/x=21 \n" ); document.write( "[252x+252(x+7)]/x(x+7)=21 \n" ); document.write( "[252x+252x+1764]/(x^2+7x)=21 now cross multiply. \n" ); document.write( "21x^2+147x=504x+1764 \n" ); document.write( "21x^2+147x-504x-1764=0 \n" ); document.write( "21x^2-357x-1764=0 \n" ); document.write( "21(x^2-17x-84)=0 \n" ); document.write( "21(x-21)(x+4)=0 \n" ); document.write( "x-21=0 \n" ); document.write( "x=21 return trip speed. \n" ); document.write( "21+7=28 for the going speed. \n" ); document.write( "proof \n" ); document.write( "252/28+252/21=21 \n" ); document.write( "9+12=21 \n" ); document.write( "21=21 \n" ); document.write( " |