document.write( "Question 44502: An athlete ran for 8 hours at a constant speed. The athlete was immediately given a bike and rode in the opposite direction for 3 hours, with twice the speed. The athlete then reversed direction again, walking for 1 hour at 40% of initial running speed. After 12 hours, the athlete was 9.6 miles from the point where the marathon exercise excursion began. Find the athlete’s three speeds. \n" ); document.write( "
Algebra.Com's Answer #29447 by stanbon(75887)\"\" \"About 
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An athlete ran for 8 hours at a constant speed. The athlete was immediately given a bike and rode in the opposite direction for 3 hours, with twice the speed. The athlete then reversed direction again, walking for 1 hour at 40% of initial running speed. After 12 hours, the athlete was 9.6 miles from the point where the marathon exercise excursion began. Find the athlete’s three speeds.\r
\n" ); document.write( "\n" ); document.write( "Running DATA:
\n" ); document.write( "distance= 8x miles; rate= x mph; time= 8 hrs\r
\n" ); document.write( "\n" ); document.write( "Biking DATA:
\n" ); document.write( "distance=(2x)(3 hr)=6x miles ;rate= 2x mph; time= 3 hrs\r
\n" ); document.write( "\n" ); document.write( "distance=0.40x ; rate=0.40x; time= 1 hour\r
\n" ); document.write( "\n" ); document.write( "EQUATION:
\n" ); document.write( "run dist. - bike distance + run dist. = 9.6 mi
\n" ); document.write( "8x - 6x + 0.40x = 9.6
\n" ); document.write( "2.4x = 9.6
\n" ); document.write( "x= 4 mph (running rate)
\n" ); document.write( "2x=8 mph (biking rate)
\n" ); document.write( "0.4x=1.6 mph (walking rate)\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );