document.write( "Question 893023: Two runners start from the same point at the same time. They will be 4 kilometers apart at the end of two (2) hours if running in the same direction, and 16 kilometers apart at the end of one (1) hour if running in opposite directions. Find their speed.
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Algebra.Com's Answer #541014 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Two runners start from the same point at the same time. They will be 4 kilometers apart at the end of two (2) hours if running in the same direction, and 16 kilometers apart at the end of one (1) hour if running in opposite directions. Find their speed. \n" ); document.write( "*** \n" ); document.write( "let x=speed of faster runner \n" ); document.write( "let y=speed of slower runner \n" ); document.write( ".. \n" ); document.write( "running in same direction: \n" ); document.write( "(x-y)*2=4 \n" ); document.write( "running in opposite direction: \n" ); document.write( "(x+y)*1=16 \n" ); document.write( ".. \n" ); document.write( "2x-2y=4 \n" ); document.write( "x+y=16 \n" ); document.write( ".. \n" ); document.write( "2x-2y=4 \n" ); document.write( "2x+2y=32 \n" ); document.write( "add \n" ); document.write( "4x=36 \n" ); document.write( "x=9 \n" ); document.write( "y=16-x=7 \n" ); document.write( "speed of faster runner=9 km/hr \n" ); document.write( "speed of slower runner=7 km/hr \n" ); document.write( " \n" ); document.write( " |