document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763010>Question 763010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I drove to my parents' house, 600 miles away. My mother worried that I drove too fast, so I promised her that when I drove home, I would slow down. I reduced my speed by 10 miles per hour, but the trip took two hours longer. How fast did I drive each way.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464410 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</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=464410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let r = speed going to Mother.\r<BR>\n" );
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document.write( "WHICHWAY____________rate____________time______________distance<BR>\n" );
document.write( "To Mother___________r_______________(___)_____________600<BR>\n" );
document.write( "Back Home__________r-10_____________(___)_____________600\r<BR>\n" );
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document.write( "Fill in the time information, only as expressions.\r<BR>\n" );
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document.write( "WHICHWAY____________rate____________time______________distance<BR>\n" );
document.write( "To Mother___________r_______________(600/r)_____________600<BR>\n" );
document.write( "Back Home__________r-10_____________(600/(r-10))_____________600\r<BR>\n" );
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document.write( "Going back home took two hours longer.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28600%2Fr%2B2=600%2F%28r-10%29%29 ALIGN=MIDDLE  ALT=\"highlight%28600%2Fr%2B2=600%2F%28r-10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Stated another way, the time going to mother plus two more hours was the amount of time spent driving back home.  This is how that equation is formed.<BR>\n" );
document.write( "Solve for r.<BR>\n" );
document.write( "Begin by multiplying both sides of the equation by r(r+10) which will clear the denominators as you begin simplifying.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%28r-10%29%2B2r%28r-10%29=600r ALIGN=MIDDLE  ALT=\"600%28r-10%29%2B2r%28r-10%29=600r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600r-6000%2B2r%5E2-20=600r ALIGN=MIDDLE  ALT=\"600r-6000%2B2r%5E2-20=600r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6000%2B2r%5E2-20=0 ALIGN=MIDDLE  ALT=\"-6000%2B2r%5E2-20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=6020 ALIGN=MIDDLE  ALT=\"r%5E2=6020\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=+78%29 ALIGN=MIDDLE  ALT=\"highlight%28r=+78%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph\r<BR>\n" );
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document.write( " </SPAN>\n" );
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