document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188728>Question 188728</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If Rachel jobs for awhile at 8 km/h and then walks at 5 km/h, she travels 23 km.  If she reverses the amoun of time spent jogging and walking, she travels 6 km farther.   Find her total travelling time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141547 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=141547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Rachel jogs for a while at 8 km/h and then walks at 5 km/h, she travels 23 km. If she reverses the amount of time spent jogging and walking, she travels 6 km farther. Find her total traveling time.<BR>\n" );
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document.write( "23 km trip:<BR>\n" );
document.write( "8x + 5y = 23<BR>\n" );
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document.write( "29 km trip<BR>\n" );
document.write( "5x + 8y = 29<BR>\n" );
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document.write( "Modify the two equations to set them up for elimination:<BR>\n" );
document.write( "40x + 25y = 115<BR>\n" );
document.write( "40x + 64y = 232<BR>\n" );
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document.write( "39y = 117<BR>\n" );
document.write( "y = 3 hrs<BR>\n" );
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document.write( "Substitute into 8x + 5y = 23 to solve for \"x\":<BR>\n" );
document.write( "8x + 5*3 = 23<BR>\n" );
document.write( "8x = 8<BR>\n" );
document.write( "x = 1 hr<BR>\n" );
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document.write( "Total time: x + y = 1+3 = 4 hrs<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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