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At the beginning df a walk, Roberto and Juanita are 2.2 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 the meet in 1 hour.
\n" ); document.write( " 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( "When walking the same direction, you subtract their speeds
\n" ); document.write( "When walking towards each other you add their speeds
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for each scenario
\n" ); document.write( ":
\n" ); document.write( "11(r-j) = 2.2
\n" ); document.write( "and
\n" ); document.write( "1(r+j) = 2.2
\n" ); document.write( "r + j = 2.2
\n" ); document.write( "r = (2.2-j)
\n" ); document.write( "In the 1st equation replace r with (2.2-j)
\n" ); document.write( "11((2.2-j)-j) = 2.2
\n" ); document.write( "11(2.2-2j) = 2.2
\n" ); document.write( "24.2 - 22j = 2.2
\n" ); document.write( "-22j = 2.2 - 24.2
\n" ); document.write( "-22j = -22
\n" ); document.write( "j = 1 mph is J's walking speed
\n" ); document.write( ":
\n" ); document.write( "Find r using the equation r = 2.2-j
\n" ); document.write( "r = 2.2 - 1
\n" ); document.write( "r = 1.2 mph is R's walking speed
\n" ); document.write( ":
\n" ); document.write( ":\
\n" ); document.write( "Check this by writing the equation when walking towards each other for 1 hr
\n" ); document.write( "1.2 + 1.0 = 2.2 mi\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "