document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=351886>Question 351886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average rate of a round trip having a one way distance of d is given by the complex rational expression 2d/(d/r^1) + (d/r^2)in which r^1 and r^2 are the average rates on the outgoing and return trips, resectively.  Simplify the expression.  Then find your average rate if you drive to campus averaging 40 miles er hour and return home on the same route averaging 30 miles per hour.\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 #251722 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=251722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The average rate of a round trip having a one way distance of d is given by<BR>\n" );
document.write( " the complex rational expression 2d/(d/r^1) + (d/r^2)in which r^1 and r^2 are<BR>\n" );
document.write( " the average rates on the outgoing and return trips, resectively.<BR>\n" );
document.write( " Simplify the expression.<BR>\n" );
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document.write( "I don't think 1 and 2 are exponents, you mean just r1 and r2, it seems to make<BR>\n" );
document.write( "something fairly simple complicated.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F%28%28d%2Fr1%29%2B%28d%2Fr2%29%29 ALIGN=MIDDLE  ALT=\"%282d%29%2F%28%28d%2Fr1%29%2B%28d%2Fr2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I clicked the wrong thing, continuing:<BR>\n" );
document.write( "Let ra = average rate for the round trip. write a time equation Time = dist/speed<BR>\n" );
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document.write( "Go time + return time = total time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fr1 ALIGN=MIDDLE  ALT=\"d%2Fr1\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fr2 ALIGN=MIDDLE  ALT=\"d%2Fr2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2Fra ALIGN=MIDDLE  ALT=\"%282d%29%2Fra\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " Then find your average rate if you drive to campus averaging 40 miles er hour<BR>\n" );
document.write( " and return home on the same route averaging 30 miles per hour.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F40 ALIGN=MIDDLE  ALT=\"d%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F30 ALIGN=MIDDLE  ALT=\"d%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2Fra ALIGN=MIDDLE  ALT=\"%282d%29%2Fra\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide thru by d and you have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F40 ALIGN=MIDDLE  ALT=\"1%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F30 ALIGN=MIDDLE  ALT=\"1%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fra ALIGN=MIDDLE  ALT=\"2%2Fra\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "multiply by 120ra to clear the denominator<BR>\n" );
document.write( "3ra + 4ra = 2(120)<BR>\n" );
document.write( "7ra = 240<BR>\n" );
document.write( "ra = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F7 ALIGN=MIDDLE  ALT=\"240%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ra = 34.3 mph av for the round trip<BR>\n" );
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document.write( "Prove this using 100 mi as the distance, find the times:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F40 ALIGN=MIDDLE  ALT=\"100%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F30 ALIGN=MIDDLE  ALT=\"100%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F34.3 ALIGN=MIDDLE  ALT=\"200%2F34.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.5 + 3.333 = 5.833 </SPAN>\n" );
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