document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241922>Question 241922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You ride your bike to campus a distance of 5 miles and return home on the same route. Going to campus, you average 9 mph faster than on your return trip home. If the round trip takes one hour and ten minutes, what is your average rate on the return trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177205 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=177205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You ride your bike to campus a distance of 5 miles and return home on the same route. <BR>\n" );
document.write( "Going to campus, you average 9 mph faster than on your return trip home.<BR>\n" );
document.write( " If the round trip takes one hour and ten minutes, what is your average rate on the return trip?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = speed on the return trip<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+9) = speed to the campus<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: Time = dist/speed<BR>\n" );
document.write( "Change time to a fraction 1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F6 ALIGN=MIDDLE  ALT=\"7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fs ALIGN=MIDDLE  ALT=\"5%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28s%2B9%29 ALIGN=MIDDLE  ALT=\"5%2F%28s%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F6 ALIGN=MIDDLE  ALT=\"7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 6s(s+9), results<BR>\n" );
document.write( "6(s+9)*5 + 6s(5) = s(s+9)*7<BR>\n" );
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document.write( "5(6s+54) + 30s = 7(s^2 + 9s)<BR>\n" );
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document.write( "30s + 270 + 30s = 7s^2 + 63s<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "0 = 7s^2 + 63s - 60s - 270<BR>\n" );
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document.write( "7s^2 + 3s - 270 = 0<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(7s + 45)(s - 6) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "s = 6 mph on the return trip<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check this by finding the times<BR>\n" );
document.write( "5/6 + 5/15 = 1.667; which is 1 hr 10 min<BR>\n" );
document.write( " </SPAN>\n" );
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