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" );
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document.write( "methods tried:<BR>\n" );
document.write( "6(3/4-t)= 7 (3/4)<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 #156308 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=156308\">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" );
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document.write( "North-bound DATA:<BR>\n" );
document.write( "rate = (1/6) miles/min ; distance = x miles ; time = d/r = (x/(1/6)) minutes<BR>\n" );
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document.write( "South-bound DATA:<BR>\n" );
document.write( "rate = (1/7) miles/min ; distance = x miles ; time = d/r = (x/(1/7)) minutes<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time + time = 45 minutes<BR>\n" );
document.write( "x/(1/6) + x/(1/)7 = 45<BR>\n" );
document.write( "6x + 7x = 45<BR>\n" );
document.write( "13x = 45<BR>\n" );
document.write( "x = 45/13 = 3.46 miles<BR>\n" );
document.write( "Total distance = 2x = 6.923 miles<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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