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
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document.write( "I am a parent trying to help my 13 year old with her algebra homework. \n" );
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Algebra.Com's Answer #500944 by stanbon(75887) ![]() 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? \n" ); document.write( "--------- \n" ); document.write( "Slower Runner DATA: \n" ); document.write( "rate = 10 mph ; distance = x miles ; time = distance/rate = x/10 hrs \n" ); document.write( "------- \n" ); document.write( "Faster Runner DATA: \n" ); document.write( "rate = 12 mph ; distance = x miles ; time = dist/rate = x/12 hrs \n" ); document.write( "------ \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 \n" ); document.write( "--------------------- \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 \n" ); document.write( "===== \n" ); document.write( "Thanks for helping your daughter. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |