document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935388>Question 935388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a 200 mile bike ride, Duva realized that if she could average 1 mile per hour faster than she did on her last 200 mile bike ride, she would finish 1 hour sooner. How long did she spend on her last 200 mile ride?\r<BR>\n" );
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document.write( "*Write the answer in minutes, and round to the nearest 10 minutes* </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568613 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=568613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> r, speed of the last bike ride;<BR>\n" );
document.write( "d, each distance of bike rides;<BR>\n" );
document.write( "t, time of the last bike ride;<BR>\n" );
document.write( "k, time difference, also given equal to rate difference;<BR>\n" );
document.write( "d=200;<BR>\n" );
document.write( "k=1.\r<BR>\n" );
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document.write( "______________________rate____________time___________distance<BR>\n" );
document.write( "LAST__________________r_______________t_______________d<BR>\n" );
document.write( "THIS__________________r+k_____________t-k_____________d\r<BR>\n" );
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document.write( "The unknown variables are r and t.<BR>\n" );
document.write( "The system equations are  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28rt=d%2C%28r%2Bk%29%28t-k%29=d%29 ALIGN=MIDDLE  ALT=\"system%28rt=d%2C%28r%2Bk%29%28t-k%29=d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Work with this system as thoroughly as you can completely in symbols to simplify and<BR>\n" );
document.write( "to solve for r and t.  You will obtain a quadratic equation through the process.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt%2Bkt-rk-k%5E2=d ALIGN=MIDDLE  ALT=\"rt%2Bkt-rk-k%5E2=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Bkt-kr-k%5E2=d ALIGN=MIDDLE  ALT=\"d%2Bkt-kr-k%5E2=d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=kt-kr-k%5E2=0 ALIGN=MIDDLE  ALT=\"kt-kr-k%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and already knowing that k=1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-r-1=0 ALIGN=MIDDLE  ALT=\"t-r-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Using other equation, r=d/t.<BR>\n" );
document.write( "Substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-d%2Ft-1=0 ALIGN=MIDDLE  ALT=\"t-d%2Ft-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28t-d%2Ft-1%29=t%2A0 ALIGN=MIDDLE  ALT=\"t%28t-d%2Ft-1%29=t%2A0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-d-t=0 ALIGN=MIDDLE  ALT=\"t%5E2-d-t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-t-d=0 ALIGN=MIDDLE  ALT=\"t%5E2-t-d=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=%28-1%2Bsqrt%281%5E2-4%2A1%28-d%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"t=%28-1%2Bsqrt%281%5E2-4%2A1%28-d%29%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28t=%28-1%2Bsqrt%281%2B4d%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28t=%28-1%2Bsqrt%281%2B4d%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is in HOURS.\r<BR>\n" );
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