document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178081>Question 178081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person on a bike is going 18 mph.\r<BR>\n" );
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document.write( "One hour after the person on a bike leaves, a person in a car is going 45 mph.\r<BR>\n" );
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document.write( "How long will it take for the person in a car to catch up with the bicycle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133039 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=133039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the bike, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the car, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When they meet, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+d%5Bc%5D ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+d%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so I'll just call it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bb%5D+=+18 ALIGN=MIDDLE  ALT=\"r%5Bb%5D+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D+=+45 ALIGN=MIDDLE  ALT=\"r%5Bc%5D+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "So far I have<BR>\n" );
document.write( "For the bike, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+18%2At%5Bb%5D ALIGN=MIDDLE  ALT=\"d+=+18%2At%5Bb%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the car, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+45%2At%5Bc%5D ALIGN=MIDDLE  ALT=\"d+=+45%2At%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since they're both equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I can say<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2At%5Bb%5D+=+45%2At%5Bc%5D ALIGN=MIDDLE  ALT=\"18%2At%5Bb%5D+=+45%2At%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Suppose I have a stopwatch and I start it when the car leaves<BR>\n" );
document.write( "and I know that the bike left 1 hour ago<BR>\n" );
document.write( "I can say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bc%5D+=+t%5Bb%5D+-+1 ALIGN=MIDDLE  ALT=\"t%5Bc%5D+=+t%5Bb%5D+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2At%5Bb%5D+=+45%2A%28t%5Bb%5D+-+1%29 ALIGN=MIDDLE  ALT=\"18%2At%5Bb%5D+=+45%2A%28t%5Bb%5D+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2At%5Bb%5D+=+45t%5Bb%5D+-+45 ALIGN=MIDDLE  ALT=\"18%2At%5Bb%5D+=+45t%5Bb%5D+-+45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27t%5Bb%5D+=+45 ALIGN=MIDDLE  ALT=\"27t%5Bb%5D+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bb%5D+=+5%2F3 ALIGN=MIDDLE  ALT=\"t%5Bb%5D+=+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >hr , or in minutes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bb%5D+=+%285%2F3%29%2A60 ALIGN=MIDDLE  ALT=\"t%5Bb%5D+=+%285%2F3%29%2A60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%29%2A60+=+100 ALIGN=MIDDLE  ALT=\"%285%2F3%29%2A60+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "That's 1 hr and 40 min<BR>\n" );
document.write( "Since the bike had a 1 hr headstart, the car took 40 min<BR>\n" );
document.write( "to catch the bike<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "For the bike, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+18%2At%5Bb%5D ALIGN=MIDDLE  ALT=\"d+=+18%2At%5Bb%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the car, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+45%2At%5Bc%5D ALIGN=MIDDLE  ALT=\"d+=+45%2At%5Bc%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+=+18%2A%285%2F3%29 ALIGN=MIDDLE  ALT=\"d+=+18%2A%285%2F3%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+=+30 ALIGN=MIDDLE  ALT=\"d+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+45%2A%282%2F3%29 ALIGN=MIDDLE  ALT=\"d+=+45%2A%282%2F3%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+=+15%2A2 ALIGN=MIDDLE  ALT=\"d+=+15%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+30 ALIGN=MIDDLE  ALT=\"d+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The distance should be the same for both and it is<BR>\n" );
document.write( "  </SPAN>\n" );
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