document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058176>Question 1058176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A truck traveled the first 100 miles of a trip at one speed and the last 135 miles at an average speed of 5 miles per hour less. The entire trip took 5 hours. What was the average speed for the first part of the trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673207 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=673207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A truck traveled the first 100 miles of a trip at one speed and the last 135 miles at an average speed of 5 miles per hour less. The entire trip took 5 hours. What was the average speed for the first part of the trip? <BR>\n" );
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document.write( "1st leg DATA:<BR>\n" );
document.write( "dist = 100 miles ; rate = x mph ; time = d/r = 100/x hrs<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "2nd leg DATA:<BR>\n" );
document.write( "dist = 135 miles ; rate = x-5 mph ; time = 135/(x-5) hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "100/x + 135/(x-5) = 5<BR>\n" );
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document.write( "100(x-5) + 135x = 5x(x-5)<BR>\n" );
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document.write( "235x - 500 = 5x^2 - 25<BR>\n" );
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document.write( "5x^2 - 235x + 475 = 0<BR>\n" );
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document.write( "x^2 - 47x + 95 = 0<BR>\n" );
document.write( "x = 44.68 mph<BR>\n" );
document.write( "x-5 = 39.68 mph<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );