document.write( "Question 192637: Ruth was hauling a wide load out of Boston. At 4:00 a.m. she headed south from exit 129 at an average of 25 mph. Nadia headed south from the same exit at 11:00 a.m. in her Toyota. By 5:00 p.m. the same day Nadia was 17 miles ahead of Ruth. what was Nadia's average speed?\r
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Algebra.Com's Answer #144609 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Ruth was hauling a wide load out of Boston. At 4:00 a.m. she headed south from exit 129 at an average of 25 mph. Nadia headed south from the same exit at 11:00 a.m. in her Toyota. By 5:00 p.m. the same day Nadia was 17 miles ahead of Ruth. what was Nadia's average speed?
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document.write( "Make this chart.\r\n" );
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document.write( "         D      R      T\r\n" );
document.write( "Ruth    \r\n" );
document.write( "Nadia   \r\n" );
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document.write( "We want to know Nadia's speed, so we put x for\r\n" );
document.write( "Nadia's rate (speed):\r\n" );
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document.write( "         D      R      T\r\n" );
document.write( "Ruth    \r\n" );
document.write( "Nadia           x       \r\n" );
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document.write( ">>...Ruth...headed south...at an average of 25 mph.\r\n" );
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document.write( "So we put 25 for Ruth's speed\r\n" );
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document.write( "         D      R      T\r\n" );
document.write( "Ruth           25     \r\n" );
document.write( "Nadia           x       \r\n" );
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document.write( "Ruth traveled from 4 AM to 5 PM, which is 13\r\n" );
document.write( "hours. So we put 13 for Ruth's time\r\n" );
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document.write( "         D      R      T\r\n" );
document.write( "Ruth           25     13\r\n" );
document.write( "Nadia           x       \r\n" );
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document.write( "Now we use D=RT to get Ruth's total distance at 5PM. \r\n" );
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document.write( "D = (25)(13) = 325 miles, so we put 325 for Ruth's\r\n" );
document.write( "distance\r\n" );
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document.write( "         D      R      T\r\n" );
document.write( "Ruth    325    25     11\r\n" );
document.write( "Nadia           x       \r\n" );
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document.write( "Nadia traveled from 11 AM to 5 PM, so her time was 6 hours.\r\n" );
document.write( "So we put 6 for Nadia's time.\r\n" );
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document.write( "\r\n" );
document.write( "         D      R      T\r\n" );
document.write( "Ruth    325    25     11\r\n" );
document.write( "Nadia           x      6 \r\n" );
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document.write( "Now we use D=RT to get Nadia's total distance at 5PM. \r\n" );
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document.write( "D = (x)(6) = 6x miles, so we put 6x for Nadia's\r\n" );
document.write( "distance\r\n" );
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document.write( "         D      R      T\r\n" );
document.write( "Ruth    325    25     11\r\n" );
document.write( "Nadia    6x     x      6 \r\n" );
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document.write( "Now that the chart is complete, we make the equation from\r\n" );
document.write( "what we didn't use to make the chart.  That was this:\r\n" );
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document.write( ">>...By 5:00 p.m. the same day Nadia was 17 miles ahead of Ruth...<<\r\n" );
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document.write( "So Nadia's distance = Ruth's distance + 17, so\r\n" );
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document.write( "                 6x = 325 + 17 \r\n" );
document.write( "                 6x = 342\r\n" );
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document.write( "Divide both sides by 6 \r\n" );
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document.write( "                  x = 57 mph\r\n" );
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document.write( "Edwin
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