document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209451>Question 209451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Harry and Gary are traveling to Nashville<BR>\n" );
document.write( "to make their fortunes. Harry leaves on the train at 8:00 A.M.<BR>\n" );
document.write( "and Gary travels by car, starting at 9:00 A.M. To complete<BR>\n" );
document.write( "the 300-mile trip and arrive at the same time as Harry, Gary<BR>\n" );
document.write( "travels 10 miles per hour (mph) faster than the train. At<BR>\n" );
document.write( "what time will they both arrive in Nashville?<BR>\n" );
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document.write( "I am supposed to use the quadratic equation, but this is all I have come up with.\r<BR>\n" );
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document.write( "300/8x=300/(9x+10)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158373 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Harry leaves on the train at 8:00 A.M.<BR>\n" );
document.write( "and Gary travels by car, starting at 9:00 A.M. To complete<BR>\n" );
document.write( "the 300-mile trip and arrive at the same time as Harry, Gary<BR>\n" );
document.write( "travels 10 miles per hour (mph) faster than the train. At<BR>\n" );
document.write( "what time will they both arrive in Nashville?<BR>\n" );
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document.write( "Gary DATA:<BR>\n" );
document.write( "distance = 300 miles ; rate = x mph ; time = d/r = 300/x hrs\r<BR>\n" );
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document.write( "Harry DATA:<BR>\n" );
document.write( "distance = 300 miles ; rate = (x+10) mph ; time = d/r = 300/(x+10) hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Harry time - Gary time = 1 hr<BR>\n" );
document.write( "300/(x+10) - 300/x = 1<BR>\n" );
document.write( "300x - 300(x+10) = x(x+10)<BR>\n" );
document.write( "-3000 = x^2+10x<BR>\n" );
document.write( "x^2 + 10x - 3000 = 0<BR>\n" );
document.write( "Factor the Quadratic:<BR>\n" );
document.write( "(x+60)(x-50) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 50 mph (Gary's rate)<BR>\n" );
document.write( "x+10 = 60 mph (Harry's rate)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Reply to stanbon@comcast.net\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );