document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471820>Question 471820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoiest travels 100miles at a certain speed. The canoiest travels 45miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 3hrs. What was the speed on each 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 #323552 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=323552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoiest travels 100 miles at a certain speed.<BR>\n" );
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document.write( "The canoiest travels 45miles on the second part of the trip at a speed 5mph slower. <BR>\n" );
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document.write( "The total time for the trip is 3hrs. <BR>\n" );
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document.write( "What was the speed on each part of the trip?<BR>\n" );
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document.write( "1st Part DATA:<BR>\n" );
document.write( "distance = 100 miles ;  rate = r mph ; time = 100/r hrs<BR>\n" );
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document.write( "2nd Part DATA:<BR>\n" );
document.write( "distance = 45 miles : rate = r-5 mph ; time = 45/(r-5) hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time + time = 3 hrs<BR>\n" );
document.write( "100/r + 45/(r-5) = 3 hrs<BR>\n" );
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document.write( "100(r-5) + 45r + 3r(r-5)<BR>\n" );
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document.write( "145r - 500 = 3r^2-15r<BR>\n" );
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document.write( "3r^2 -160r + 500 = 0<BR>\n" );
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document.write( "I graphed the quadratic and found <BR>\n" );
document.write( "a realistic solution at r = 50 mph (rate on 1st part of trip)<BR>\n" );
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document.write( "Then r-5 = 45 mph (rate on 2nd part of trip)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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