document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182006>Question 182006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Noel is determined to get some excercise and walks to the store at a brisk rate of 4.5 mph. She meets her friend Dani at the store, and together they walk back at a slower rate of 3mph. Noel's total walking time was 1hr. How long did it take her to walk to the store? What is the distance to the store? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136614 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=136614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can use the formula: d = rt where d = distance, r = rate (speed), and t = time.<BR>\n" );
document.write( "For the trip to the store <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the rate (speed) is 4.5 mph so we can write:<BR>\n" );
document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+4.5%28t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+4.5%28t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the return trip <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;\" > at 3 mph, we can write:<BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+3%28t%5B2%5D%29 ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+3%28t%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now since the distance to the store is the same as the return distance, you can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and, since the total time for the trip was 1 hour, then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+%2B+t%5B2%5D+=+1 ALIGN=MIDDLE  ALT=\"t%5B1%5D+%2B+t%5B2%5D+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now we can rewrite this as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+1-t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+1-t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute it for the <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;\" > in equation 2) after setting equation 1) equal to equation 2).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%28t%5B1%5D%29+=+3%28t%5B2%5D%29 ALIGN=MIDDLE  ALT=\"4.5%28t%5B1%5D%29+=+3%28t%5B2%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B2%5D+=+1-t%5B1%5D ALIGN=MIDDLE  ALT=\"t%5B2%5D+=+1-t%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%28t%5B1%5D%29+=+3%281-t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"4.5%28t%5B1%5D%29+=+3%281-t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for <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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%28t%5B1%5D%29+=+3-3%28t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"4.5%28t%5B1%5D%29+=+3-3%28t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"3%28t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.5%28t%5B1%5D%29+=+3 ALIGN=MIDDLE  ALT=\"7.5%28t%5B1%5D%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 7.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t%5B1%5D+=+0.4%29 ALIGN=MIDDLE  ALT=\"highlight%28t%5B1%5D+=+0.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours.<BR>\n" );
document.write( "So it took Noel 0.4 hours or 24 minutes to walk to the store.<BR>\n" );
document.write( "To find the distance to the store (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >), substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+0.4 ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > into either equation 1) or equation 2) and solve for the distance.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+4.5%28t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+4.5%28t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5B1%5D+=+0.4%29 ALIGN=MIDDLE  ALT=\"t%5B1%5D+=+0.4%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%5B1%5D+=+4.5%280.4%29 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+4.5%280.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d%5B1%5D+=+1.8%29 ALIGN=MIDDLE  ALT=\"highlight%28d%5B1%5D+=+1.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >miles.<BR>\n" );
document.write( "Noel walked 1.8 miles to the store.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );