document.write( "Question 1169580: On a trip to the mountains, ms. jacobs drove her car at an average rate of 50 mph. due to the bad road conditions, the return trip took 3 hours longer, and she averaged only 30 mph. find out how much time she spent driving home. Solve using matrices \n" ); document.write( "
Algebra.Com's Answer #794380 by ikleyn(52802)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The ratio of rates is  \"5%2F3\";  hence, the ratio of times is  \"3%2F5\".\r\n" );
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document.write( "It means that if the time going to the mountains is 3x hours, then the time returning is 5x hours.\r\n" );
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document.write( "We are given that  5x - 3x = 3 hours;  hence,  2x = 3,  x= 3/2  hours  and\r\n" );
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document.write( "the time driving home is  \"5%2A%283%2F2%29\" = \"15%2F2\" = 7.5 hours = 7 hours and 30 minutes.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Again,  I solved it without using matrices,  since I think that that request is  INADEQUATE.\r
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