document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288992>Question 288992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man started on a walk 12 km. After walking half the distance at x km/h, he decreased his speed by 1/2 km/h. He completed his walk 10 minutes later than he would have done if he had not decreased his speed. Obtain an equation for x and solve it. Use your value of x to determine the time he took for the 12 kilometre walk. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209582 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=209582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man started on a walk 12 km.<BR>\n" );
document.write( " After walking half the distance at x km/h, he decreased his speed by 1/2 km/h.<BR>\n" );
document.write( "He completed his walk 10 minutes later than he would have done if he had not decreased his speed.<BR>\n" );
document.write( " Obtain an equation for x and solve it. <BR>\n" );
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document.write( "x = speed during the 1st 6 km<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-.5} = speed during the last 6 km<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Change 10 min to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
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document.write( "Write a time equation: Time = dist/speed<BR>\n" );
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document.write( "6 km at normal speed + 6 km at slower speed = 12 km at normal speed + 10 min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx ALIGN=MIDDLE  ALT=\"6%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28%28x-.5%29%29 ALIGN=MIDDLE  ALT=\"6%2F%28%28x-.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fx ALIGN=MIDDLE  ALT=\"12%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply equation by 6x(x-.5), results:<BR>\n" );
document.write( "6(6(x-.5) + 6(6x) = 12(6(x-.5) + x(x-.5)<BR>\n" );
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document.write( "36(x-.5) + 36x = 72(x-.5) + x^2 - .5x<BR>\n" );
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document.write( "36x - 18 + 36x = 72x - 36 + x^2 - .5x<BR>\n" );
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document.write( "Combining like terms gives us:<BR>\n" );
document.write( "0 = x^2 - .5x - 18<BR>\n" );
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document.write( "This will factor<BR>\n" );
document.write( "(x + 4)(x - 4.5) = 0<BR>\n" );
document.write( "Positive solution<BR>\n" );
document.write( "x = 4.5 km/hr<BR>\n" );
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document.write( "Use your value of x to determine the time he took for the 12 kilometre walk.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F4.5 ALIGN=MIDDLE  ALT=\"6%2F4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F4 ALIGN=MIDDLE  ALT=\"6%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
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document.write( "Check solution by finding the time if 12 km walked at 4.5 km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F4.5 ALIGN=MIDDLE  ALT=\"12%2F4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6 ALIGN=MIDDLE  ALT=\"4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr faster </SPAN>\n" );
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