document.write( "Question 1091655: It takes Caitlyn 55 min to drive to work in the morning. She drives home using the same route, but it takes 22 min longer, and she averages 17 mi/h less than in the morning. How far does Caitlyn drive to work? \n" ); document.write( "

Algebra.Com's Answer #706094 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "Let D be the distance under the question (from home to work), in miles.\r\n" );
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document.write( "Then your governing equation is THIS:\r\n" );
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document.write( " = .     (1)\r\n" );
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document.write( "Here  55+22 = 77 minutes  is the Caitlyn' time on the way home.\r\n" );
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document.write( " miles per minutes is the average speed Caitlyn drove on the way home.\r\n" );
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document.write( "      miles per minutes is the average speed Caitlyn drove on the way to work.\r\n" );
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document.write( "     is the given speed difference in miles per minute.\r\n" );
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document.write( "All you need to do is to solve the equation (1).\r\n" );
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document.write( "Your first step is to multiply both sides by 77*55*60. Then you will get\r\n" );
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document.write( "77*60*D - 55*60*D = 17*77*55,   or\r\n" );
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document.write( "1320*D = 71995  ====>  D =  = 54.54 miles.\r\n" );
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document.write( "Answer.  54.54 miles approximately.\r\n" );
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