document.write( "Question 1109976: Heather drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12
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document.write( " hours. When Heather drove home, there was no traffic and the trip only took 8
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document.write( " hours. If her average rate was
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document.write( " 20 miles per hour faster on the trip home, how far away does Heather live from the mountains?
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document.write( "Do not do any rounding.\r
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Algebra.Com's Answer #725006 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Two good answers from other tutors.... \n" ); document.write( "Now here is a non-traditional method that is faster for me. \n" ); document.write( "The ratio of times is 12:8, or 3:2. Since the distances going and coming are the same; the ratio of speeds is 2:3. \n" ); document.write( "So let 2x be the speed on the way there; let 3x be the speed on the way back. \n" ); document.write( "Her speed on the trip home was 20mph faster: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Her speed going was 2x = 40mph; her speed returning was 3x = 60mph. Either calculation 12*40 or 8*60 will give you the distance, which is 480 miles. \n" ); document.write( " |