document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282952>Question 282952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man bicycles 5 mph faster than he walks. He bicycles 24 miles and then hikes back along the same route in 11 hours. How fast does he walk? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205470 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=205470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a man bicycles 5 mph faster than he walks. He bicycles 24 miles and then hikes back along the same route in 11 hours. How fast does he walk?\r<BR>\n" );
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document.write( "Let the speed that he walks be W. \r<BR>\n" );
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document.write( "Then the speed that he bikes at is W + 5, since he bikes 5 mph faster than he walks\r<BR>\n" );
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document.write( "His time to walk 24 miles (end leg of trip) would then be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2FW ALIGN=MIDDLE  ALT=\"24%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and his time to bike 24 miles (1st leg of trip) would be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F%28W+%2B+5%29 ALIGN=MIDDLE  ALT=\"24%2F%28W+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "Since he does both ends of the trip in 11 hours, then we'll have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F%28W%29+%2B+24%2F%28W+%2B+5%29+=+11 ALIGN=MIDDLE  ALT=\"24%2F%28W%29+%2B+24%2F%28W+%2B+5%29+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%28W+%2B+5%29+%2B+24W+=+11%28W%5E2+%2B+5W%29 ALIGN=MIDDLE  ALT=\"24%28W+%2B+5%29+%2B+24W+=+11%28W%5E2+%2B+5W%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---- Multiplying by LCD W(W + 5)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24W+%2B+120+%2B+24W+=+11W%5E2+%2B+55W ALIGN=MIDDLE  ALT=\"24W+%2B+120+%2B+24W+=+11W%5E2+%2B+55W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48W+%2B+120+=+11W%5E2+%2B+55W ALIGN=MIDDLE  ALT=\"48W+%2B+120+=+11W%5E2+%2B+55W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+11W%5E2+%2B+7W+-+120 ALIGN=MIDDLE  ALT=\"0+=+11W%5E2+%2B+7W+-+120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(11W + 40)(W - 3) = 0\r<BR>\n" );
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document.write( "11W = - 40 (ignore, as speed CANNOT be a negative value)\r<BR>\n" );
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document.write( "Therefore, W, or his walking speed = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283%29 ALIGN=MIDDLE  ALT=\"highlight_green%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and since B, or his biking speed = W + 5, then he bikes at: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%288%29 ALIGN=MIDDLE  ALT=\"highlight_green%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph. </SPAN>\n" );
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