document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141992>Question 141992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ii.	You participate in a triathlon in which you swam 3 miles, ran 5 miles, and then bicycled 10 miles.  You ran twice as fast as you swam, and cycled three times as fast as you swam.  If your total time was 1 hr and 46 minutes, how fast did you swim? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103402 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=103402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt;  r=d/t and t=d/r\r<BR>\n" );
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document.write( "Let r=swimming rate<BR>\n" );
document.write( "Then 2r=running rate <BR>\n" );
document.write( "And 3r=cycling rate\r<BR>\n" );
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document.write( "Amount of time that you swam=3/r<BR>\n" );
document.write( "Amount of time that you ran=5/2r<BR>\n" );
document.write( "Amount of time that you cycled=10/3r\r<BR>\n" );
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document.write( "Now we are told that the above times add up 1hr 46 min or 106 min (Note: we can't deal in both hours and minutes. We have to deal in one or the other so let's deal in minutes.  By doing this, our answer will come out in miles/minute and we'll have to change it to miles/hr which is easy- we just multiply by 60--ok?)\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "3/r+ 5/2r  + 10/3r=106  multiply each term by 6r\r<BR>\n" );
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document.write( "18+15+20=636r  collect like terms\r<BR>\n" );
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document.write( "53=636r  divide both sides by 636\r<BR>\n" );
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document.write( "r=0.0833333333333333-- miles/min\r<BR>\n" );
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document.write( "Multiply this by 60 and we have swimming rate in miles/hr, so\r<BR>\n" );
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document.write( "r=60*(0.083333333333333333333--)=5 miles/hr\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "3/5+5/10+10/15=1 46/60=106/60=53/30<BR>\n" );
document.write( "(18+15+20)/30=53/30\r<BR>\n" );
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document.write( "53/30=53/30\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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