document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524608>Question 524608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,  I could really use some help with this problem:  during the first part of the trip, a canoeist travels 47 miles at a certain speed.  The canoeist travels 6 miles on the second part of the trip at a speed of 5 mph slower.  The total time for the trip is 3 hours.  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 #347797 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=347797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> during the first part of the trip, a canoeist travels 47 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed of 5 mph slower. The total time for the trip is 3 hours. 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 = 47 miles ; rate = r mph ; time = d/r = 47/r hrs.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "2nd Part DATA:<BR>\n" );
document.write( "distance = 6 miles ; rate = r-5 mph ; time = d/r = 6/(r-5) hrs.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time + time = 3 hrs.<BR>\n" );
document.write( "47/r + 6/(r-5) = 3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "47(r-5) + 6r = 3r(r-5)<BR>\n" );
document.write( "47r - 235 + 6r = 3r^2-15r<BR>\n" );
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document.write( "3r^2-68r+235 = 0<BR>\n" );
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document.write( "Solve for the realistic value of \"r\":<BR>\n" );
document.write( "r = 18.41 mph (rate on 1st part)<BR>\n" );
document.write( "r-5 = 13.41 mph (rate on 2nd part)<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================= </SPAN>\n" );
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