document.write( "Question 830852: Two athletes are competing in a race. One averages 10mph, and the other 12 mph. If the faster runner finishes one minute sooner than the other how long is the race?\r
\n" ); document.write( "\n" ); document.write( "I am a parent trying to help my 13 year old with her algebra homework.
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Algebra.Com's Answer #500944 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Two athletes are competing in a race. One averages 10mph, and the other 12 mph. If the faster runner finishes one minute sooner than the other how long is the race?
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\n" ); document.write( "Slower Runner DATA:
\n" ); document.write( "rate = 10 mph ; distance = x miles ; time = distance/rate = x/10 hrs
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\n" ); document.write( "Faster Runner DATA:
\n" ); document.write( "rate = 12 mph ; distance = x miles ; time = dist/rate = x/12 hrs
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\n" ); document.write( "Note:
\n" ); document.write( "x/10 hrs = 60(x/10) = 6x minutes
\n" ); document.write( "x/12 hrs = 60(x/12) = 5x minutes
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\n" ); document.write( "Equation:
\n" ); document.write( "slower runner time - faster runner time = 1 minute
\n" ); document.write( "6x - 5x = 1 min
\n" ); document.write( "x = 1 mile
\n" ); document.write( "Ans: The length of the race is 1 mile
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\n" ); document.write( "Thanks for helping your daughter.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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