document.write( "Question 396300: At beginning of a wlak Roberto and Juanita are 4.4 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other they meet in 1 hour, what are their speeds? \n" ); document.write( "
Algebra.Com's Answer #281305 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! At beginning of a walk Roberto and Juanita are 4.4 miles apart. \n" ); document.write( " If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. \n" ); document.write( "If they walk towards each other they meet in 1 hour, what are their speeds? \n" ); document.write( ": \n" ); document.write( "Let r = R's walking speed \n" ); document.write( "Let j = J's walking speed \n" ); document.write( ": \n" ); document.write( "Write two distance equation; dist = time * speed \n" ); document.write( "Toward: 1r + 1j = 4.4 \n" ); document.write( "Same dir: 11r - 11j = 4.4 \n" ); document.write( ": \n" ); document.write( "multiply the 1st equation by 11, add to the 2nd equation \n" ); document.write( "11r + 11j = 48.4 \n" ); document.write( "11r - 11j = 4.4 \n" ); document.write( "--------------------addition eliminates j, find r \n" ); document.write( "22r = 52.8 \n" ); document.write( "r = \n" ); document.write( "r = 2.4 mph is R's walking speed \n" ); document.write( "Find J \n" ); document.write( "2.4 + j = 4.4 \n" ); document.write( "j = 4.4 - 2.4 \n" ); document.write( "j = 2 mph is J's walking speed \n" ); document.write( ": \n" ); document.write( "Check solution in the 2nd equation \n" ); document.write( "11(2.4) - 11(2) = 4.4 \n" ); document.write( "26.4 - 22 = 4.4 \n" ); document.write( " |