document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=20748>Question 20748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fitness Fitness For 30 minutes you do a combination of walking and jogging.  At the end of your workout your pedometer displays a total of 2.5 miles.  You know that you walk 0.05 mile per minute and jog 0.1 mile per minute.  For how much time were you walking?  For how much time were you jogging?  Use a verbal model to write and solve a system of linear equations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363618 by </B><A HREF=/tutors/aboutme.mpl?userid=harshachittar><B>harshachittar(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=harshachittar><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=363618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay here goes, <BR>\n" );
document.write( "Before I start the solution please notice that the time is in minutes but the distance is in miles/hr. \r<BR>\n" );
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document.write( "Information given, <BR>\n" );
document.write( "Total Time, t = 30 mins or 1/2 hr or .5 hr <BR>\n" );
document.write( "Total distance, d = 2.5 miles/hr <BR>\n" );
document.write( "Rate of walking Rw = 0.05 miles/min or 3 miles/hr<BR>\n" );
document.write( "Rate of jogging Rj = 0.1 miles/min or 6 miles/hr \r<BR>\n" );
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document.write( "To Find, <BR>\n" );
document.write( "Time jogged, Tj = ?<BR>\n" );
document.write( "Time walked, Tw = ? \r<BR>\n" );
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document.write( "Let Dj be the distance jogged and Dw be the distance walked \r<BR>\n" );
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document.write( "Dj + Dw = 2.5 ------------ Equ (1) <BR>\n" );
document.write( "Tj + Tw = 0.5 ------------ Equ (2) \r<BR>\n" );
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document.write( "We know that <BR>\n" );
document.write( "D = T x R <BR>\n" );
document.write( "so,<BR>\n" );
document.write( "Dw = Tw x Rw <BR>\n" );
document.write( "Dj = Tj x Rj \r<BR>\n" );
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document.write( "Replace the above in Equ (1) <BR>\n" );
document.write( "(Tw x Rw) + (Tj x Rj) = 2.5 -------------- Equ (3) \r<BR>\n" );
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document.write( "From Equ(2) we get, <BR>\n" );
document.write( "Tw = 0.5 - Tj, <BR>\n" );
document.write( "So Equ (3) becomes <BR>\n" );
document.write( "[(0.5 - Tj) x 3] + (6 x Tj) = 2.5 <BR>\n" );
document.write( "Solving the above equation for Tj we get, <BR>\n" );
document.write( "Tj = 1/3 hr \r<BR>\n" );
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document.write( "Since, <BR>\n" );
document.write( "Tw + Tj = 1/2 <BR>\n" );
document.write( "Tw = 1/2 - 1/3 <BR>\n" );
document.write( "Tw = 1/6 \r<BR>\n" );
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document.write( "Time spent walking is 1/6 hr or 10 mins<BR>\n" );
document.write( "Time spent jogging is 1/3 hr or 20 mins\r<BR>\n" );
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document.write( " </SPAN>\n" );
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