document.write( "Question 274878: Please help me with this problem.\r
\n" ); document.write( "\n" ); document.write( "Kim decides to run 2 Km in to the local gym\r
\n" ); document.write( "\n" ); document.write( "She runs the first x km at 8km/hr, then walks the rest at 4km/hr
\n" ); document.write( "Altogether the journey takes 20 minutes
\n" ); document.write( "Form and solve an equation to find the value of x
\n" ); document.write( "

Algebra.Com's Answer #200554 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Kim decides to run 2 Km in to the local gym
\n" ); document.write( "She runs the first x km at 8km/hr, then walks the rest at 4km/hr
\n" ); document.write( "Altogether the journey takes 20 minutes
\n" ); document.write( "Form and solve an equation to find the value of x
\n" ); document.write( ":
\n" ); document.write( "change 20 min to \"1%2F3\"hr
\n" ); document.write( "x = dist ran (given)
\n" ); document.write( "Then
\n" ); document.write( "(2-x) = dist walked
\n" ); document.write( ":
\n" ); document.write( "Write a time equation, time = dist/speed
\n" ); document.write( ":
\n" ); document.write( "Run time + walk time = 1/3 hr
\n" ); document.write( "\"x%2F8\" + \"%28%282-x%29%29%2F4\" = \"1%2F3\"
\n" ); document.write( "Multiply by 24 to rid us of those denominators, results
\n" ); document.write( "3x + 6(2-x) = 8
\n" ); document.write( ":
\n" ); document.write( "3x + 12 - 6x = 8
\n" ); document.write( ":
\n" ); document.write( "3x - 6x = 8 - 12
\n" ); document.write( ":
\n" ); document.write( "-3x = -4
\n" ); document.write( "x = \"4%2F3\" or 1\"1%2F3\" km ran
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Is this true, walk dist = 2/3 km, find the times using decimals
\n" ); document.write( "1.33/8 + .67/4 =
\n" ); document.write( ".166 + .1675 = .333 hr, which is 20 min
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