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At the beginning of a walk, Roberto and Juanita are 7.7 miles apart.
\n" ); document.write( " If they leave at the same time and walk in the same directions.
\n" ); document.write( " Roberto over take jaunita in 11 hours.
\n" ); document.write( " If they walk towards each other they meet in one hour.
\n" ); document.write( " What are their speeds?
\n" ); document.write( ":
\n" ); document.write( "let r = R's speed
\n" ); document.write( "let j = J's speed
\n" ); document.write( ":
\n" ); document.write( "Write two distance equations, d = time * speed
\n" ); document.write( ":
\n" ); document.write( "Walking the same direction
\n" ); document.write( "11(r-j) = 7.7
\n" ); document.write( "divide both sides by 11
\n" ); document.write( "r - j = .7
\n" ); document.write( ":
\n" ); document.write( "Walking toward each other
\n" ); document.write( "1(r+j) = 7.7
\n" ); document.write( "r + j = 7.7
\n" ); document.write( ":
\n" ); document.write( "Add the two equations
\n" ); document.write( "r - j = .7
\n" ); document.write( "r + j = 7.7
\n" ); document.write( "---------------additional eliminates j, find r
\n" ); document.write( "2r = 8.4
\n" ); document.write( "r =
\n" ); document.write( "r = 4.2 mph is R's walking speed
\n" ); document.write( ":
\n" ); document.write( "Find J's speed using eq: r + j = 7.7
\n" ); document.write( "4.2 + j = 7.7
\n" ); document.write( "j = 7.7 - 4.2
\n" ); document.write( "j = 3.5 mph is J's walking speed
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the \"toward\" equation
\n" ); document.write( "1 * (3.5 + 4.2) = 7.7 \n" ); document.write( "