document.write( "Question 1013083: Charmaine drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
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document.write( "12
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document.write( " hours. When Charmaine drove home, there was no traffic and the trip only took
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document.write( "8
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document.write( " hours. If her average rate was
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document.write( "20
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document.write( " miles per hour faster on the trip home, how far away does Charmaine live from the mountains? \n" );
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Algebra.Com's Answer #629279 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "(rate going) x (time going)=(rate returning) x (time returning) \n" ); document.write( ". \n" ); document.write( "Let R=rate going; R+20=rate returning \n" ); document.write( ". \n" ); document.write( "(R)(12 hours)=(R+20)(8 hours) \n" ); document.write( "12R=8R+160 \n" ); document.write( "4R=160 \n" ); document.write( "R=40 \n" ); document.write( "Her rate on the way was 40 mph. \n" ); document.write( ". \n" ); document.write( "Distance=Rate x Time \n" ); document.write( "Distance=(40 mph)(12 hours)=480 miles \n" ); document.write( ". \n" ); document.write( "ANSWER: She lives 480 miles from the mountains. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "480 miles=(Rate returning) x (Time returning) \n" ); document.write( "480 miles=(40 mph+20mph)(8 hours) \n" ); document.write( "480 miles=(60mph)(8 hours) \n" ); document.write( "480 miles=480 miles \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |