document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433161>Question 433161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this problem: Ivanna can jog to work in 3/4 of an hour. When she rides her bike, it takes her 1/3 of an hour. If she rides miles 9 per hour faster than she jogs, how far away is her work?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300275 by </B><A HREF=/tutors/aboutme.mpl?userid=katealdridge><B>katealdridge(100)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=katealdridge><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=katealdridge><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I hate problems like this.<BR>\n" );
document.write( "Okay, d=rt (distance = rate*time)<BR>\n" );
document.write( "let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D ALIGN=MIDDLE  ALT=\"r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=the rate of jogging to work<BR>\n" );
document.write( "let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D ALIGN=MIDDLE  ALT=\"r%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=the rate of biking to work<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=r%5B1%5D%2A%283%2F4%29 ALIGN=MIDDLE  ALT=\"d=r%5B1%5D%2A%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the rate equation for jogging to work<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=r%5B2%5D%2A%281%2F3%29 ALIGN=MIDDLE  ALT=\"d=r%5B2%5D%2A%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the rate equation for biking to work<BR>\n" );
document.write( "d is the same for both equations because there is only 1 distance to work.<BR>\n" );
document.write( "But they also tell you that she rides 9 miles/hr faster than she jogs.  This means: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D=r%5B1%5D%2B9 ALIGN=MIDDLE  ALT=\"r%5B2%5D=r%5B1%5D%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So you can now take the biking equation and substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D%2B9 ALIGN=MIDDLE  ALT=\"r%5B1%5D%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > in for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B2%5D ALIGN=MIDDLE  ALT=\"r%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=%28r%5B1%5D%2B9%29%2A%281%2F3%29 ALIGN=MIDDLE  ALT=\"d=%28r%5B1%5D%2B9%29%2A%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > the new biking equation<BR>\n" );
document.write( "Now take both equations, the new biking and the jogging, and set them equal to each other:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D%2A%283%2F4%29=%28r%5B1%5D%2B9%29%2A%281%2F3%29 ALIGN=MIDDLE  ALT=\"r%5B1%5D%2A%283%2F4%29=%28r%5B1%5D%2B9%29%2A%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D ALIGN=MIDDLE  ALT=\"r%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=%283%2F4%29r%5B1%5D=%281%2F3%29%28r%5B1%5D%2B9%29 ALIGN=MIDDLE  ALT=\"%283%2F4%29r%5B1%5D=%281%2F3%29%28r%5B1%5D%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplifying a little<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29r%5B1%5D=%281%2F3%29r%5B1%5D%2B3 ALIGN=MIDDLE  ALT=\"%283%2F4%29r%5B1%5D=%281%2F3%29r%5B1%5D%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > distributing the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F12%29r%5B1%5D=3 ALIGN=MIDDLE  ALT=\"%285%2F12%29r%5B1%5D=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtracting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29r%5B1%5D ALIGN=MIDDLE  ALT=\"%281%2F3%29r%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D=7.2 ALIGN=MIDDLE  ALT=\"r%5B1%5D=7.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplying both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F5 ALIGN=MIDDLE  ALT=\"12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This means the rate of jogging to work is 7.2 miles/hour (sounds more like sprinting to me)<BR>\n" );
document.write( "Now that you've got that done, you can find out the distance.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=r%5B1%5D%2A%283%2F4%29 ALIGN=MIDDLE  ALT=\"d=r%5B1%5D%2A%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug in 7.2 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5B1%5D ALIGN=MIDDLE  ALT=\"r%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=d=7.2%2A%283%2F4%29 ALIGN=MIDDLE  ALT=\"d=7.2%2A%283%2F4%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=5.4miles ALIGN=MIDDLE  ALT=\"d=5.4miles\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );