document.write( "Question 437056: At the beginning of a walk, Roberto and Juanita are 9.9 miles apart.If they leave at the same time and walk in the same direction, Roberto overtakes Juanity 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 #302598 by ankor@dixie-net.com(22740)\"\" \"About 
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At the beginning of a walk, Roberto and Juanita are 9.9 miles apart.
\n" ); document.write( "If they leave at the same time and walk in the same direction, Roberto overtakes Juanity in 11 hours.
\n" ); document.write( " If they walk towards each other, they meet in 1 hour.
\n" ); document.write( " What are their speeds?
\n" ); document.write( ":
\n" ); document.write( "Let r = Robert's walking speed
\n" ); document.write( "Let j = Juanita's walking speed
\n" ); document.write( ":
\n" ); document.write( "Write distance equation for each scenario
\n" ); document.write( ":
\n" ); document.write( "11r - 11j = 9.9, (walking same direction)
\n" ); document.write( "and
\n" ); document.write( "1r + 1j = 9.9, (towards each other)
\n" ); document.write( ":
\n" ); document.write( "Multiply the above equation by 11, add to the 1st equation:
\n" ); document.write( "11r - 11j = 9.9
\n" ); document.write( "11r + 11j = 108.9
\n" ); document.write( "--------------------addition eliminates j, find r
\n" ); document.write( "22r = 118.8
\n" ); document.write( "r = \"118.8%2F22\"
\n" ); document.write( "r = 5.4 mph is Robert's speed
\n" ); document.write( "then
\n" ); document.write( "5.4 + j = 9.9
\n" ); document.write( "j = 9.9 - 5.4
\n" ); document.write( "j = 4.5 mph is Juanita's speed
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "check solution in the \"same direction\" equation
\n" ); document.write( "11(5.4) - 11(4.5) =
\n" ); document.write( "59.4 - 49.5 = 9.9, confirms our solutions \n" ); document.write( "
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