document.write( "Question 1021535: Your aunt and uncle took turns driving on a 580-mile trip that took 10 hours. Your uncle drove at a constant speed of 60 mph and your aunt drove a constant speed of 55 mph. How long did each person drive?\r
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\n" ); document.write( "580 = 55/x + 60/y\r
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\n" ); document.write( "\n" ); document.write( "600 = 55x + 60y
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Algebra.Com's Answer #637312 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Your aunt and uncle took turns driving on a 580-mile trip that took 10 hours. Your uncle drove at a constant speed of 60 mph and your aunt drove a constant speed of 55 mph. How long did each person drive?\r
\n" ); document.write( "\n" ); document.write( "we have tried=
\n" ); document.write( "580 = 55/x + 60/y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "600 = 55x + 60y
\n" ); document.write( "

Let time aunt drove, be T
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document.write( "Then time uncle drove = 10 - T
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document.write( "We then get the following DISTANCE equation: 55T + 60(10 - T) = 580
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document.write( "55T + 600 - 60T = 580
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document.write( "55T - 60T = 580 - 600
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document.write( "- 5T = - 20
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document.write( "T, or time aunt drove = , or  hours
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document.write( "Time uncle drove = 10 - 4, or  hours \n" );
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