document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262158>Question 262158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> OK guys this one is driving me nuts (as do all of them, but this one more most.)  Here's what I've got:\r<BR>\n" );
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document.write( "A jet flew at an average speed of 640 mph from LA to Chicago.  Because of headwinds the jet averaged only 512 mph on the return trip, and took 48 minutes longer.  How many hours was the flight from Chicago to LA?  How far is Chicago to LA?\r<BR>\n" );
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document.write( "I swear I thought this was some kind of trick question.  I've tried plugging those numbers in every which way but standing on my head, and I cannot build any kind of equation from them.  It just seems like I'm a number short.  Is there really enough information there to answer those questions?\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193120 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=193120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem involves the use of the equation d=vt, where d = distance, v = velocity and t = time.\r<BR>\n" );
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document.write( "Let d = the distance between Chicago and LA<BR>\n" );
document.write( "v = 640mph<BR>\n" );
document.write( "t = time of flight\r<BR>\n" );
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document.write( "d=vt<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=640%2At ALIGN=MIDDLE  ALT=\"d=640%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "On the return trip, the distance is the same, d, but it takes 48 minutes longer.\r<BR>\n" );
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document.write( "Convert 48 minutes to hours: 48/60 = 0.80 hours\r<BR>\n" );
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document.write( "the equation for the return trip is:\r<BR>\n" );
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document.write( "d = vt<BR>\n" );
document.write( "d = (512)(t+0.8)\r<BR>\n" );
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document.write( "The two distances are the same (the original trip and the return trip) so we can just equate them:\r<BR>\n" );
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document.write( "d = d<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=640%2At+=+%28512%29%28t%2B0.8%29 ALIGN=MIDDLE  ALT=\"640%2At+=+%28512%29%28t%2B0.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=640%2At+=+512%2At+%2B+512%2A0.8 ALIGN=MIDDLE  ALT=\"640%2At+=+512%2At+%2B+512%2A0.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Minus 512t from both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128%2At+=+409.6 ALIGN=MIDDLE  ALT=\"128%2At+=+409.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by 128:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+409.6%2F128 ALIGN=MIDDLE  ALT=\"+t+=+409.6%2F128\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+3.2+ ALIGN=MIDDLE  ALT=\"t+=+3.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the time of the first trip is t=3.2 hours. The return trip takes 48 minutes (or 0.8 hours) longer. \r<BR>\n" );
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document.write( "t = 3.2 + 0.8<BR>\n" );
document.write( "t = 4 hours\r<BR>\n" );
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document.write( "The return trip takes 4 hours.\r<BR>\n" );
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document.write( "We can then find the distance between Chicago and LA by using the d = vt equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+640%2A3.2 ALIGN=MIDDLE  ALT=\"d+=+640%2A3.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=2048 ALIGN=MIDDLE  ALT=\"d=2048\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the distance is d = 2048 miles.\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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