document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125116>Question 125116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Smith bicycled 45 miles going east from Dallas, and Jones bicycled 70 miles.  Jones avgd 5 miles per hour more than Smith and his trip took one-half hour longer than Smiths.  How fast was each one traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91726 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=91726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Smith bicycled 45 miles going east from Dallas, and Jones bicycled 70 miles.  Jones avgd 5 miles per hour more than Smith and his trip took one-half hour longer than Smiths.  How fast was each one traveling?<BR>\n" );
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document.write( "Smith DATA:<BR>\n" );
document.write( "Distance = 45 miles ; rate = x mph ; time = d/r = 45/x hrs.<BR>\n" );
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document.write( "Jones DATA:<BR>\n" );
document.write( "Distance = 70 miles ; rate = x+5 mph ; time = d/r = 70/(x+5) hrs.<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "Jones time - Smith time = 1/2)<BR>\n" );
document.write( "70/(x+5) - 45/x = 1/2<BR>\n" );
document.write( "Multiply thru by 2x(x+5) to get:<BR>\n" );
document.write( "70*2x - 45*2(x+5) = x(x+5)<BR>\n" );
document.write( "140x - 90x+450 = x^2+5x<BR>\n" );
document.write( "x^2-45x-450 = 0<BR>\n" );
document.write( "(x-15)(x-30) = 0<BR>\n" );
document.write( "x = 15 or x = 30<BR>\n" );
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document.write( "Reasonable answer for bicyclists: <BR>\n" );
document.write( "Smith rate = 15 mph<BR>\n" );
document.write( "Jones rate = 20 mph<BR>\n" );
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document.write( "If you like x=30<BR>\n" );
document.write( "Smith rate = 30 mph<BR>\n" );
document.write( "Jones rate = 35 mph<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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