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 #500405 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=500405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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. <BR>\n" );
document.write( "I set it up like this:<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "J+W=3<BR>\n" );
document.write( "7.5J+4W=15<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Modify:<BR>\n" );
document.write( "4J + 4W = 12<BR>\n" );
document.write( "7.5J+4W = 15<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Subtract to get:<BR>\n" );
document.write( "3.5J = 3<BR>\n" );
document.write( "J = 6/7 hrs (time spent jogging)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"W\":<BR>\n" );
document.write( "J + W = 3<BR>\n" );
document.write( "(6/7) + W = (21/7)<BR>\n" );
document.write( "W = 15/7 hrs (time spent walking)<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================================  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );