document.write( "Question 506547: At the beginning of a walk, Roberto and Juan are 7.7 miles apart. If they leave at the same time Roberto meets Juan in 11 hours. If they walk towards each other they meet in 1 hour. What are their average speeds?\r
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document.write( "I need to know how to set up these equations. I don't even know where to begin. \n" );
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Algebra.Com's Answer #340181 by mananth(16946)![]() ![]() You can put this solution on YOUR website! at the same time Roberto meets Juan in 11 hours. If they walk towards each other they meet in 1 hour. What are their average speeds?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Roberto speed = x mph \n" ); document.write( "Juan speed = y mph \n" ); document.write( "let x>y \n" ); document.write( "d= 7.7 \n" ); document.write( "if they go away then the catch up distance = 7.7 \n" ); document.write( "the catch up speed = x-y\r \n" ); document.write( "\n" ); document.write( "t= d/r \n" ); document.write( "t=11 \n" ); document.write( "11= 7.7/(x-y) \n" ); document.write( "11x-11y=7.7 \n" ); document.write( "/11 \n" ); document.write( "x-y = 0.7..............1 \n" ); document.write( "..... \n" ); document.write( "if they move towards \n" ); document.write( "then speed = x+y \n" ); document.write( "t=1 \n" ); document.write( "d= 7.7 \n" ); document.write( "t=d/r \n" ); document.write( "1=7.7/(x+y) \n" ); document.write( "x+y = 7.7 ------------2 \n" ); document.write( "add (1) & (2) \n" ); document.write( "2x=0.7 + 7.7 \n" ); document.write( "2x=8.4 \n" ); document.write( "/2 \n" ); document.write( "x=4.2 \n" ); document.write( "Roberto speed = 4.2 mph \n" ); document.write( "from (2) x+y =7.7 \n" ); document.write( "4.2+y=7.7 \n" ); document.write( "y=7.7-4.2 \n" ); document.write( "y=3.5 \n" ); document.write( "Juan speed = 3.5 mph\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |