document.write( "Question 781076: I need help solving the following equation or how to solve it. Samantha ran on a fitness track for 20 mins. She walked for 10 mins. Her running rate was 250ft per minute faster than her walking rate. If she ran and walked a total of 15,500ft, how fast did she run? \n" ); document.write( "
Algebra.Com's Answer #475781 by stanbon(75887)\"\" \"About 
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Samantha ran on a fitness track for 20 mins. She walked for 10 mins. Her running rate was 250ft per minute faster than her walking rate. If she ran and walked a total of 15,500ft, how fast did she run?\r
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\n" ); document.write( "Equations:
\n" ); document.write( "Distance Equation::: r + w = 15,500 ft
\n" ); document.write( "Rate Equation::::::: r/(1/5) = w/(1/6) + 250
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\n" ); document.write( "Modify for elimination:
\n" ); document.write( "6r + 6w = 6*15,500
\n" ); document.write( "6r - 5w = 30*250
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\n" ); document.write( "Subtract and solve for \"w\":
\n" ); document.write( "11w = 85,500
\n" ); document.write( "walking distance = 7772.73 ft
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\n" ); document.write( "running dstance = 7727.27 ft
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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