document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236571>Question 236571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 79 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 2 hrs. What was the speed on each part of the trip? (Simplify the answer, type an integer or a decimal point, round to the nearest hundredth). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174125 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=174125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  During the first part of a trip, a canoeist travels 79 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 2 hrs. 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 = 79 miles ; rate = x mph ; time = d/r = 79/x hrs.<BR>\n" );
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document.write( "2nd part DATA:<BR>\n" );
document.write( "distance = 2 miles ; rate = x-5 mph ; time = d/r = 2/(x-5) hrs\r<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time + time = 2 hrs<BR>\n" );
document.write( "79/x + 2/(x-5) = 2<BR>\n" );
document.write( "Multiply thru by x(x-5) to get:<BR>\n" );
document.write( "79(x-5) + 2x = 2x(x-5)<BR>\n" );
document.write( "79x - 395 + 2x = 2x^2 - 10x<BR>\n" );
document.write( "2x^2 -91x + 395 = 0<BR>\n" );
document.write( "Use Quadratic Formula to <BR>\n" );
document.write( "get a reasonable value of \"x\":<BR>\n" );
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document.write( "The answers are 4.86 and 40.64<BR>\n" );
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document.write( "Neither answer is reasonable for canoeing speed.<BR>\n" );
document.write( "It can't be 4.86 because x-5 would be negative.<BR>\n" );
document.write( "It can't be 40.64 because canoes don't go that fast.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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