document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190998>Question 190998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Zoha jogs 3 miles per hour faster than she walks. She jogs for 2 miles and then walks for 2 miles. If the total time of her outing is one hour, find the rate at which she walks and jogs? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143410 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Zoha jogs 3 miles per hour faster than she walks. She jogs for 2 miles and then <BR>\n" );
document.write( "walks for 2 miles. If the total time of her outing is one hour, find the rate at<BR>\n" );
document.write( " which she walks and jogs?<BR>\n" );
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document.write( "Let x = walking speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+3) = jogging speed<BR>\n" );
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document.write( "Write a time equation; Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "walk time + jog time = 1 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fx ALIGN=MIDDLE  ALT=\"2%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"2%2F%28%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply equation by x(x+3), results:<BR>\n" );
document.write( "2(x+3) + 2x = x(x+3)<BR>\n" );
document.write( "2x + 6 + 2x = x^2 + 3x<BR>\n" );
document.write( "4x + 6 = x^2 + 3x<BR>\n" );
document.write( "0 = x^2 + 3x - 4x - 6<BR>\n" );
document.write( "a quadratic equation:<BR>\n" );
document.write( "x^2 - x - 6 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x-3)(x+2) = 0<BR>\n" );
document.write( "Positive solution<BR>\n" );
document.write( "x = 3 mph is the walking speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3 + 3 = 6 mph is the jogging speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution:<BR>\n" );
document.write( "2/3 + 2/6 = 1<BR>\n" );
document.write( " </SPAN>\n" );
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