document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=814532>Question 814532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sara begins the race with a pace of 8 miles/hr. but gets tired after 15 min. and slows down to 4 miles/hr. <BR>\n" );
document.write( "Katy runs a steady pace of 5 miles/hr. the entire race.<BR>\n" );
document.write( "At what distance will katy pass sara? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490351 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=490351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recognize two time periods:  The first quarter of hour, and AFTER the first quarter of hour.  The \"AFTER\" part is a variable time, call it h.\r<BR>\n" );
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document.write( "Sara:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A%281%2F4%29%2B4%2Ah+=+d ALIGN=MIDDLE  ALT=\"8%2A%281%2F4%29%2B4%2Ah+=+d\"   DISABLED_style= \"max-width:90%; height:auto;\" >    for some unknown distance d, based on the unknown time h.\r<BR>\n" );
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document.write( "Katy:  The same steady speed the whole race, but for ALL of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%2Bh ALIGN=MIDDLE  ALT=\"%281%2F4%29%2Bh\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours of time.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%281%2F4%2Bh%29+=+d ALIGN=MIDDLE  ALT=\"5%281%2F4%2Bh%29+=+d\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When Sara and Katy reach the same distance, their \"d\" is the same, and we can equation them and solve for h.  Once h is found, use either equation to compute d.  Start this with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%288%281%2F4%29%2B4h=5%281%2F4%2Bh%29%29 ALIGN=MIDDLE  ALT=\"highlight%288%281%2F4%29%2B4h=5%281%2F4%2Bh%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B4h=5%2F4%2B5h ALIGN=MIDDLE  ALT=\"2%2B4h=5%2F4%2B5h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=5%2F4%2Bh ALIGN=MIDDLE  ALT=\"2=5%2F4%2Bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=2-5%2F4=2-1.25=highlight%280.75%29 ALIGN=MIDDLE  ALT=\"h=2-5%2F4=2-1.25=highlight%280.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is three-quarters of an hour, or 45 minutes.\r<BR>\n" );
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document.write( "You still need to find the distance. </SPAN>\n" );
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