document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830206>Question 830206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a word problem that goes as follows \"A man alternates between jogging and walking while exercising. He traveled 15 miles during the past 3 hours. He jogs at a rate of 7.5mph and walks and a rate of 4mph. How much time, to the nearest hundredth of an hour, did he spend walking and how much time did he spend jogging.\r<BR>\n" );
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document.write( "I set it up like this:<BR>\n" );
document.write( "J+W=3<BR>\n" );
document.write( "7.5J+4W=15 and got .57 hours jogging and 2.43 hours walking. I am not sure if I am using the right method though. I have tried different methods of multiplying the 15 by 3 but those answers didn't make much sense. \r<BR>\n" );
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document.write( "thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500412 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=500412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> j time jogging<BR>\n" );
document.write( "w time walking\r<BR>\n" );
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document.write( "_________________speed_________________time_______________distance<BR>\n" );
document.write( "jogging__________7.5___________________j__________________(____)<BR>\n" );
document.write( "walking__________4_____________________w__________________(____)<BR>\n" );
document.write( "Total_________________________________3_____________________15\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28R%2At=d%29 ALIGN=MIDDLE  ALT=\"highlight_green%28R%2At=d%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for Rate, time, distance.\r<BR>\n" );
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document.write( "_________________speed_________________time_______________distance<BR>\n" );
document.write( "jogging__________7.5___________________j__________________((7.5)j)<BR>\n" );
document.write( "walking__________4_____________________w__________________(4w)<BR>\n" );
document.write( "Total_________________________________3_____________________15\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28j%2Bw=3%29 ALIGN=MIDDLE  ALT=\"highlight%28j%2Bw=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%287.5%29j%2B4w=15%29 ALIGN=MIDDLE  ALT=\"highlight%28%287.5%29j%2B4w=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You have the correct equations.  That is more than half of the solution process.<BR>\n" );
document.write( "You are worried about some \"right\" method to solve the system of equations.  Take your choice:  Substitution, Elimination, or Matrix.\r<BR>\n" );
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document.write( "Let me assume that you had only a temporary difficulty and that you should try solving the system again and find no trouble.\r<BR>\n" );
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document.write( "....<BR>\n" );
document.write( "As for what I'd do, my choice is Elimination Method.  Multiply the time equation by 4; subtract this equation from the distance equation, and you will have an equation in only the variable, j, and can quickly get the value for j.\r<BR>\n" );
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