document.write( "Question 1125632: Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Juan drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour faster on the trip home, how far away does Juan live from the mountains? \n" ); document.write( "

Algebra.Com's Answer #741956 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours.
\n" ); document.write( "When Juan drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour
\n" ); document.write( "faster on the trip home, how far away does Juan live from the mountains?
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document.write( "The correct \"speed\" equation is\r\n" );
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document.write( "     + 16 = ,\r\n" );
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document.write( "where D is one way distance. \r\n" );
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document.write( "The equation says that the speed at the 6-hours trip (the right side)  was 16 miles per hour faster than at the 8-hours trip.\r\n" );
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document.write( "To solve the equation, multiply both sides by 24. You will get\r\n" );
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document.write( "    3D + 16*24 = 4D,   or\r\n" );
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document.write( "    D = 16*24 = 384 miles.\r\n" );
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document.write( "Answer.  One way distance is  384 miles.\r\n" );
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