document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186928>Question 186928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary lives 6 miles from the mall. She rides her bike to the mall. She rides 4 miles before she meets her friend. They drop off the bike and run together. It then takes them the same amount of time to run the rest of the way to the makk as it took Mary to ride the bike for the first 4 miles. She can bike 8 mph faster than she runs. How fast can she bike? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140113 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=140113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mary lives 6 miles from the mall. She rides her bike to the mall.<BR>\n" );
document.write( " She rides 4 miles before she meets her friend. <BR>\n" );
document.write( "They drop off the bike and run together. <BR>\n" );
document.write( "It then takes them the same amount of time to run the rest of the way to the<BR>\n" );
document.write( " mall as it took Mary to ride the bike for the first 4 miles.<BR>\n" );
document.write( " She can bike 8 mph faster than she runs. How fast can she bike?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = M's bike speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-8) = M's running speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write time equation: time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Bike time =  Running time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fs ALIGN=MIDDLE  ALT=\"4%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28s-8%29 ALIGN=MIDDLE  ALT=\"2%2F%28s-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cross multiply:<BR>\n" );
document.write( "4(s-8) = 2s<BR>\n" );
document.write( "4s - 32 = 2s<BR>\n" );
document.write( "4s - 2s = 32<BR>\n" );
document.write( "2s = 32<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%2F2 ALIGN=MIDDLE  ALT=\"32%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 16 mph is the bike speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution, find the times of biking and running:<BR>\n" );
document.write( "4/16 = .25 hr<BR>\n" );
document.write( "2/8 = .25 hr<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );