document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=819351>Question 819351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each Saturday, Sarah and Beccy drive from the town of Littlesburgh to the city of Bigsford to go shopping. The last time they made the journey, Sarah set off at 8:15 am, travelling at 30mph. Beccy set off at 8:27 am but was travelling at 50mph.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Assuming they remain at these speeds and do not stop, at what time does Beccy overtake Sarah, and how far away were they both from Littlesburgh? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #493098 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=493098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How much of a head start did Sarah get?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+30%2A%2812%2F60%29+=+6+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+30%2A%2812%2F60%29+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles<BR>\n" );
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document.write( "Start a stopwatch when Becky leaves<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance that Becky travels<BR>\n" );
document.write( "until she catches Sarah.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time on the stopwatch when<BR>\n" );
document.write( "Becky catches Sarah.<BR>\n" );
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document.write( "Equation for Sarah:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+6+=+30t+ ALIGN=MIDDLE  ALT=\"+d+-+6+=+30t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Equation for Becky:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+50t+ ALIGN=MIDDLE  ALT=\"+d+=+50t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50t+-+6+=+30t+ ALIGN=MIDDLE  ALT=\"+50t+-+6+=+30t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20t+=+6+ ALIGN=MIDDLE  ALT=\"+20t+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3%2F10+ ALIGN=MIDDLE  ALT=\"+t+=+3%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F10%29%2A60+=+18+ ALIGN=MIDDLE  ALT=\"+%283%2F10%29%2A60+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "Becky overtakes Sarah at 8:27 + 18 min = 8:45<BR>\n" );
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document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+50t+ ALIGN=MIDDLE  ALT=\"+d+=+50t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+50%2A%283%2F10%29+ ALIGN=MIDDLE  ALT=\"+d+=+50%2A%283%2F10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+15+ ALIGN=MIDDLE  ALT=\"+d+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "They are 15 miles from Littlesburgh<BR>\n" );
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document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+6+=+30t+ ALIGN=MIDDLE  ALT=\"+d+-+6+=+30t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15+-+6+=+30%2A%283%2F10%29+ ALIGN=MIDDLE  ALT=\"+15+-+6+=+30%2A%283%2F10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+=+9+ ALIGN=MIDDLE  ALT=\"+9+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
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