document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168706>Question 168706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> mr winkle jogs 4 miles and then turns and jogs back to his starting point.the first part of his jog he was going mostly uphill so his speed was 2 miles per hr slower than his speed returning.if the total time he spent was 1 2/3 hour find his rate going and his rate returning </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124364 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=124364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mr winkle jogs 4 miles and then turns and jogs back to his starting point.the first part of his jog he was going mostly uphill so his speed was 2 miles per hr slower than his speed returning.if the total time he spent was 1 2/3 hour find his rate going and his rate returning<BR>\n" );
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document.write( "Let s = speed returning<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-2) = speed up the hill<BR>\n" );
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document.write( "Write a time equation: Time = dist/speed<BR>\n" );
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document.write( "Time return + time out = 1 & 2/3 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fs ALIGN=MIDDLE  ALT=\"4%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28s-2%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28s-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fs ALIGN=MIDDLE  ALT=\"4%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28%28s-2%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28%28s-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 3s(s-2) to get rid of the denominators, results<BR>\n" );
document.write( "4*3(s-2) + 4*3s = 5s(s-2)<BR>\n" );
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document.write( "12s - 24 + 12s = 5s^2 - 10s<BR>\n" );
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document.write( "24s - 24 = 5s^2 - 10s<BR>\n" );
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document.write( "0 = 5s^2 - 10s - 24s + 24<BR>\n" );
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document.write( "A quadratic equation, solve for s<BR>\n" );
document.write( "5s^2 - 34s + 24 = 0<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(5s - 4)(s - 6) = 0<BR>\n" );
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document.write( "5s = 4<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >; this solution makes no sense.<BR>\n" );
document.write( "and<BR>\n" );
document.write( "s = 6 mph is his return speed, then obviously 4 mph is his up-hill speed<BR>\n" );
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document.write( "Check solution by find the times<BR>\n" );
document.write( "4/6 + 4/4 = 1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs </SPAN>\n" );
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