document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199978>Question 199978</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0132402866/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Mike can run the mile in 6 minutes and Dan can run the mile in 9 minutes. If Mike gives Dan a headstart of 1 minute, how far from the start will Mike pass Dan? How long does it take? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150348 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=150348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mike can run the mile in 6 minutes and Dan can run the mile in 9 minutes.<BR>\n" );
document.write( "If Mike gives Dan a head-start of 1 minute, how far from the start will Mike pass Dan? <BR>\n" );
document.write( "How long does it take?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = M's running time<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+1) = D's running time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When M catches D, they will have run the same distance<BR>\n" );
document.write( "Write a distance equation from this fact<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >(t+1)<BR>\n" );
document.write( "Multiply both side by 18<BR>\n" );
document.write( "3t = 2(t+1)<BR>\n" );
document.write( "3t = 2t + 2<BR>\n" );
document.write( "3t - 2t = 2<BR>\n" );
document.write( "t = 2 minutes for M to catch D<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Dist:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > mile<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > mile </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );