document.write( "Question 1087930: Jamie recently drove to visit her parents who live 560 miles away. On her way there her average speed was 24 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of 16 hours driving, find the two rates. \n" ); document.write( "

Algebra.Com's Answer #702226 by ikleyn(52796) $\"\"$ $\"About$

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document.write( "Let u be the Jamie slower rate, in miles per hour (mph).\r\n" );
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document.write( "Then her faster rate is (u+24) mph.\r\n" );
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document.write( "Time at slower rate is  hours.\r\n" );
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document.write( "Time at faster rate is  hours.\r\n" );
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document.write( "The time for the two-way journey is the sum of these values, which gives you an equation\r\n" );
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document.write( "  +  = 16    hours.\r\n" );
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document.write( "The setup is done.\r\n" );
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document.write( "To solve the equation, multiply both sides by u*(u+24). You will get\r\n" );
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document.write( "560*(u+24) + 560u = 16u*(u+24).\r\n" );
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document.write( "Simplify and solve this quadratic equation to get the answer u = 60 mph.\r\n" );
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document.write( "Answer.  The slower speed was 60 mph.  The faster speed was 60+24 = 84.\r\n" );
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