document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19122>Question 19122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ollie Carr has just enough money to rent a canoe for 1 1/2 hours. how far out on a lake can he paddle and return on time if he paddles out at 2 km/h and back 4 km/h?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9189 by </B><A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><B>mmm4444bot(95)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mmm4444bot><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=9189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello There:\r<BR>\n" );
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document.write( "Hopefully you've memorized the relationship between distance traveled, rate of speed, and elapsed time:\r<BR>\n" );
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document.write( "Distance = Rate * Time\r<BR>\n" );
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document.write( "(The asterisk means multiplication.)\r<BR>\n" );
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document.write( "Clearly, the distance that Ollie paddles out is the same as the distance he paddles back.  What is different are the rates of speed and elapsed time.\r<BR>\n" );
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document.write( "Let's call the rate going out r1 and the rate coming in r2.  The corresponding elasped times are t1 and t2.\r<BR>\n" );
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document.write( "Since the elapsed times must total 1-1/2 hours (3/2 hours), we should solve the equation above for elasped time.  This will allow us to write an equation involving the elapsed times.\r<BR>\n" );
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document.write( "Divide both sides of the equation above by Rate to solve for Time:\r<BR>\n" );
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document.write( "Time = Distance/Rate\r<BR>\n" );
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document.write( "The elapsed time going out is:\r<BR>\n" );
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document.write( "t1 = d/r1\r<BR>\n" );
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document.write( "t2 = d/r2\r<BR>\n" );
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document.write( "Now, we can substitute the given values for r1 and r2.\r<BR>\n" );
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document.write( "t1 = d/2\r<BR>\n" );
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document.write( "t2 = d/4\r<BR>\n" );
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document.write( "Since the total time is 3/2, we use the above expressions for the times to write our equation.\r<BR>\n" );
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document.write( "d/2 + d/4 = 3/2\r<BR>\n" );
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document.write( "Can you solve this equation for d?\r<BR>\n" );
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document.write( "Give it a try.\r<BR>\n" );
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document.write( "~ Mark\r<BR>\n" );
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document.write( "P.S. You should get a distance of 2 miles for your answer.<BR>\n" );
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