document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544056>Question 544056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a 75 m race if ace gives flash a 15 m head start, ace and flash will tie. If flash gives speedy a 15 m head start, flash and speedy will tie. At these rates how many meters head start should ace give speedy for ace and speedy to tie in a 75 m race? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #355044 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=355044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a 75 m race if ace gives flash a 15 m head start, ace and flash will tie.<BR>\n" );
document.write( " If flash gives speedy a 15 m head start, flash and speedy will tie.<BR>\n" );
document.write( " At these rates how many meters head start should ace give speedy for ace and speedy to tie in a 75 m race?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let's assign a speed to Ace, 10 m/sec, then find Flashe's speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, time = dist/speed, let f = Flashe's speed<BR>\n" );
document.write( "a's time = f's time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2F10 ALIGN=MIDDLE  ALT=\"75%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Ff ALIGN=MIDDLE  ALT=\"60%2Ff\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "75f = 10*60<BR>\n" );
document.write( "f = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F75 ALIGN=MIDDLE  ALT=\"600%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f = 8 m/sec is Flashes speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Do the same with Flash and speedy<BR>\n" );
document.write( "f's time = s's time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2F8 ALIGN=MIDDLE  ALT=\"75%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fs ALIGN=MIDDLE  ALT=\"60%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "75s = 8*60<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2F75 ALIGN=MIDDLE  ALT=\"480%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 6.4 m/sec is Speedy's speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation for Ace and Speedy<BR>\n" );
document.write( "let d = distance covered by speedy while Ace covers 75 m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2F10 ALIGN=MIDDLE  ALT=\"75%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F6.4 ALIGN=MIDDLE  ALT=\"d%2F6.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "10d = 75*6.4<BR>\n" );
document.write( "10d = 480<BR>\n" );
document.write( "d = 48 meters<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "Ace should give Speedy 75-48 = 27 m head start for them to finish at the same time </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );