document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316580>Question 316580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tourist can bicycle 52 miles in the same time as he can walk 20 miles. If he can ride 8 mph faster than he can walk, how much time should he allow to walk a 29 mile trail? (Hint: How fast can 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 #226481 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need to use the formula D=VT, where D=distance, V=velocity (or speed) and T=time\r<BR>\n" );
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document.write( "I will use subscript b for biking, and w for walking:\r<BR>\n" );
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document.write( "Db = 52 miles<BR>\n" );
document.write( "Dw = 20 miles<BR>\n" );
document.write( "Vb = Vw +8\r<BR>\n" );
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document.write( "The times are the same, so isolate for T in the D=VT equation:\r<BR>\n" );
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document.write( "Tw = Dw/Vw<BR>\n" );
document.write( "Tb = Db/Vb\r<BR>\n" );
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document.write( "Now set Tb and Tw equal to each other:\r<BR>\n" );
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document.write( "Db/(Vw+8) = 20/Vw\r<BR>\n" );
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document.write( "Cross multiply and solve for Vw:\r<BR>\n" );
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document.write( "52*Vw = 20*Vw +160<BR>\n" );
document.write( "32*Vw = 160<BR>\n" );
document.write( "Vw = 5\r<BR>\n" );
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document.write( "So the man's walking speed is 5 mph.\r<BR>\n" );
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document.write( "To find the time to walk a 29 mile trail, use T=D/V\r<BR>\n" );
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document.write( "T = 29 / 5<BR>\n" );
document.write( "T=5.8\r<BR>\n" );
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document.write( "He should allow 5.8 hours to walk a 29 mile trail. </SPAN>\n" );
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