document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206771>Question 206771</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534404693/algebrahomeworkh>Algebra and Trigonometry with Analytic Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A woman begins jogging at 3:00 P.M., running due north at a 6- minute- mile pace. Later, she reverses direction and runs due south at a 7- minute mile pace. If she returns to her starting point at 3:45 P.M., find the total number of miles run.\r<BR>\n" );
document.write( "\n" );
document.write( "methods tried:<BR>\n" );
document.write( "6(3/4-t)= 7 (3/4)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156309 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=156309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A woman begins jogging at 3:00 P.M., running due north at a 6- minute- mile pace. Later, she reverses direction and runs due south at a 7- minute mile pace. If she returns to her starting point at 3:45 P.M., find the total number of miles run. <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using mile-min we have:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time (minutes) running a 6 min-mile<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(45-t) = time running a 7 min-mile<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A distance equation in miles<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F6 ALIGN=MIDDLE  ALT=\"t%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2845-t%29%2F7 ALIGN=MIDDLE  ALT=\"%2845-t%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "7t = 6(45-t)<BR>\n" );
document.write( "7t = 270 - 6t<BR>\n" );
document.write( "7t + 6t = 270<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=270%2F13 ALIGN=MIDDLE  ALT=\"270%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 20.77 min at a 6 min-mile<BR>\n" );
document.write( "and<BR>\n" );
document.write( "45 - 20.77 = 24.23 min at a 7 min-mile<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the distances, (should be equal)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24.23%2F7 ALIGN=MIDDLE  ALT=\"24.23%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.46 mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20.77%2F6 ALIGN=MIDDLE  ALT=\"20.77%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.46 mi<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "total distance  6.92 mi </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );