document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=608561>Question 608561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "I'm not even sure how to start to set this problem up. :/ Thanks for your help!!\r<BR>\n" );
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document.write( "Dirk and Garret decide to have a 40-mile bike race. During the race, Dirk averages 2 miles per hour faster than Garret and beats Garret by 2/3 of an hour. What was each man's speed?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383296 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=383296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Dirk and Garret decide to have a 40-mile bike race. During the race, Dirk averages 2 miles per hour faster than Garret and beats Garret by 2/3 of an hour. What was each man's speed? <BR>\n" );
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document.write( "Dirk DATA:<BR>\n" );
document.write( "distance = 40 miles ; rate = x+2 mph ; time = 40/(x+2) hrs<BR>\n" );
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document.write( "Garret DATA:<BR>\n" );
document.write( "distance = 40 miles; rate = x mph ; time = 40/x hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Garret time - Dirk time = (2/3)hr.<BR>\n" );
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document.write( "40/x - 40/(x+2) = 2/3<BR>\n" );
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document.write( "Multiply thru by 3x(x+2) to get:<BR>\n" );
document.write( "40*3*(x+2) - 40*3*x = x(x+2)<BR>\n" );
document.write( "120x + 240 - 120x = x^2 + 2x<BR>\n" );
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document.write( "x^2 +2x - 240 = 0<BR>\n" );
document.write( "Use the Quadratic Formula to find x = 14.52 mph (Garret's rate)<BR>\n" );
document.write( "and x + 2 = 16.52 mph (Dirk's rate)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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