document.write( "Question 53099: A consultant traveled 10 hours to attend a meeting. The return trip took only 9 hours because the speed was 8 miles per hour faster. What was the consultants speed each way? No book. Thanks so much for your time! \n" ); document.write( "
Algebra.Com's Answer #35399 by AnlytcPhil(1807)\"\" \"About 
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A consultant traveled 10 hours to attend a meeting.\r\n" );
document.write( "The return trip took only 9 hours because the speed \r\n" );
document.write( "was 8 miles per hour faster. What was the consultants \r\n" );
document.write( "speed each way? No book. Thanks so much for your time!\r\n" );
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document.write( "Make this chart\r\n" );
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document.write( "             DISTANCE     RATE      TIME\r\n" );
document.write( "Going                                    \r\n" );
document.write( "Returning                                 \r\n" );
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document.write( "Fill in the times for going and returning,\r\n" );
document.write( "10 hrs and 9 hrs:\r\n" );
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document.write( "             DISTANCE     RATE      TIME\r\n" );
document.write( "Going                                 10\r\n" );
document.write( "Returning                              9\r\n" );
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document.write( "Let x mph be the rate going. Fill that in \r\n" );
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document.write( "             DISTANCE     RATE      TIME\r\n" );
document.write( "Going                       x         10\r\n" );
document.write( "Returning                              9\r\n" );
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document.write( "The speed returning was 8 mph faster than x mph.\r\n" );
document.write( "So we add 8 mph to x mph and get x+8 mph. So\r\n" );
document.write( "fill that in as the rate returning\r\n" );
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document.write( "             DISTANCE     RATE      TIME\r\n" );
document.write( "Going                       x         10\r\n" );
document.write( "Returning                  x+8         9\r\n" );
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document.write( "Now use D = RT to fill in the distances:\r\n" );
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document.write( "             DISTANCE     RATE      TIME\r\n" );
document.write( "Going          10x          x         10\r\n" );
document.write( "Returning     9(x+8)       x+8         9\r\n" );
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document.write( "Now since the distance going was the same as the\r\n" );
document.write( "distance returning, we set the two distances equal\r\n" );
document.write( "to each other:\r\n" );
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document.write( "        10x = 9(x+8)\r\n" );
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document.write( "Solve that and get 72 mph going.  Then the rate\r\n" );
document.write( "returning was 8 mph faster, or 80 mph!  Lucky\r\n" );
document.write( "he didn't get a speeding ticket! :-)\r\n" );
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document.write( "Edwin

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