document.write( "Question 739778: Bob traveled a total of 20km by running and walking. One third of the distance he walked equaled one half of the distance he ran. How far did he walk? \n" ); document.write( "

Algebra.Com's Answer #451391 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let r = his running distance
\n" ); document.write( "let w = his walking distance
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\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "Bob traveled a total of 20km by running and walking.
\n" ); document.write( "r + w = 20
\n" ); document.write( ":
\n" ); document.write( " One third of the distance he walked equaled one half of the distance he ran.
\n" ); document.write( " $\"1%2F3\"$ w = $\"1%2F2\"$ r
\n" ); document.write( "multiply both sides by 3, we have
\n" ); document.write( "w = 1.5r
\n" ); document.write( ":
\n" ); document.write( "in the first equation, replace w with 1.5r
\n" ); document.write( "r + 1.5r = 20
\n" ); document.write( "2.5r = 20
\n" ); document.write( "r = 20/2.5
\n" ); document.write( "r = 8 mi running
\n" ); document.write( ":
\n" ); document.write( "You can find the distance walking, check your solution in the 1st equation
\n" ); document.write( ":
\n" ); document.write( " How far did he walk? \n" ); document.write( "

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