document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254824>Question 254824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jake gave Patti a 5-yard head start in a 100-yard dash and Jake lost by only  1/4<BR>\n" );
document.write( "yard. In how many more yards, beyond 100 yards, would Jake have overtaken<BR>\n" );
document.write( "Patti?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187147 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jake gave Patti a 5-yard head start in a 100-yard dash and Jake lost by only 1/4<BR>\n" );
document.write( "yard. <BR>\n" );
document.write( "In how many more yards, beyond 100 yards, would Jake have overtaken<BR>\n" );
document.write( "Patti? <BR>\n" );
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document.write( "When P's at the 100 yd marker, P has ran 95 yds in the same time interval as J ran 99.75 yds<BR>\n" );
document.write( "Use this to establish the speed of each runner<BR>\n" );
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document.write( "Let d = distance beyond the 100 yd marker where J overtakes P<BR>\n" );
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document.write( "Write a time equation Time = dist/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F95 ALIGN=MIDDLE  ALT=\"d%2F95\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2B.25%29%2F99.75 ALIGN=MIDDLE  ALT=\"%28d%2B.25%29%2F99.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "99.75d = 95(d+.25)<BR>\n" );
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document.write( "99.75d = 95d + 23.75<BR>\n" );
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document.write( "99.75d - 95d = 23.75<BR>\n" );
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document.write( "4.75d = 23.75<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23.75%2F4.75 ALIGN=MIDDLE  ALT=\"23.75%2F4.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 5 yds past the 100 yd maker, J catches P<BR>\n" );
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document.write( "Confirm this by finding the times<BR>\n" );
document.write( "5/95 = .0526<BR>\n" );
document.write( "5.25/99.75 = .0526; J ran 5<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > yds in the same time P ran 5 yds </SPAN>\n" );
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