document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96328>Question 96328</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1592009425/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> You travel 575 miles in 8 hours. Part of the trip is made at 60mph and part of the trip is made at 80mph. Find the time traveled at each rate.  This is the question.  I have that distance =rate * time and  575=r*8.  I also have that r=(60T+80t)/2 and T+t=8 but when i try to solve it I get a negative time. Thanks for trying to help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70122 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=70122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are taking the right approach!  Let's see how it goes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+r%5B1%5Dt%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+r%5B1%5Dt%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+r%5B2%5Dt%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+r%5B2%5Dt%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > We are given that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D+=+60 ALIGN=MIDDLE  ALT=\"r%5B1%5D+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D+=+80 ALIGN=MIDDLE  ALT=\"r%5B2%5D+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D%2Bd%5B2%5D+=+575 ALIGN=MIDDLE  ALT=\"d%5B1%5D%2Bd%5B2%5D+=+575\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+575-d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+575-d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " and we have to find:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > but we also know that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D%2Bt%5B2%5D+=+8 ALIGN=MIDDLE  ALT=\"t%5B1%5D%2Bt%5B2%5D+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+8-t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+8-t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's put in some values.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+60t%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+60t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+60%288-t%5B2%5D%29 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+60%288-t%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+80t%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+80t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+d%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+d%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=575-d%5B2%5D+=+60%288-t%5B2%5D%29 ALIGN=MIDDLE  ALT=\"575-d%5B2%5D+=+60%288-t%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+575-60%288-t%5B2%5D%29 ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+575-60%288-t%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+575-480%2B60t%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+575-480%2B60t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+95%2B60t%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+95%2B60t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+80t%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+80t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80t%5B2%5D+=+95%2B60t%5B2%5D ALIGN=MIDDLE  ALT=\"80t%5B2%5D+=+95%2B60t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20t%5B2%5D+=+95 ALIGN=MIDDLE  ALT=\"20t%5B2%5D+=+95\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+95%2F20 ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+95%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+4.75 ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+4.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+8-t%5B2%5D ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+8-t%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+8-4.75 ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+8-4.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+3.25 ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+3.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours.\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5Dt%5B1%5D%2Br%5B2%5Dt%5B2%5D+=+575 ALIGN=MIDDLE  ALT=\"r%5B1%5Dt%5B1%5D%2Br%5B2%5Dt%5B2%5D+=+575\"   DISABLED_style= \"max-width:90%; height:auto;\" > The total trip distance.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%283.25%29%2B80%284.75%29+=+195%2B380 ALIGN=MIDDLE  ALT=\"60%283.25%29%2B80%284.75%29+=+195%2B380\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 575 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );