document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200523>Question 200523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> David and Carl go mounting climbing. David starts 30 minutes before Carl and climbs at 18 ft/min.  Carl climbs at 20 ft/min.  How far up the mountain will they meet.\r<BR>\n" );
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document.write( "20t = 18(t +30)<BR>\n" );
document.write( "20t = 18t + 540<BR>\n" );
document.write( "2t = 540<BR>\n" );
document.write( "t = 270\r<BR>\n" );
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document.write( "This can't be the correct answer because David has already climbed 540 feet even before Carl starts climbing. Therefore meeting at 270 ft. is the wrong answer.  What is the answer and what am I doing wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150744 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance+=+Rate%2ATime ALIGN=MIDDLE  ALT=\"Distance+=+Rate%2ATime\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let David's time be given as t.<BR>\n" );
document.write( "Then Carl's time is t-30.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DavesDistance+=+18%2At ALIGN=MIDDLE  ALT=\"DavesDistance+=+18%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CarlsDistance+=+20%2A%28t-30%29 ALIGN=MIDDLE  ALT=\"CarlsDistance+=+20%2A%28t-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When Carl catches Dave, their distances are the same<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18t+=+20t+-+600 ALIGN=MIDDLE  ALT=\"18t+=+20t+-+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2t+=+-600 ALIGN=MIDDLE  ALT=\"-2t+=+-600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+300 ALIGN=MIDDLE  ALT=\"t+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "that 300 is in minutes\r<BR>\n" );
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document.write( "So 5 hours in, they are both 18*300 = 20*270 = 5400 feet on their way.<BR>\n" );
document.write( "FYI - climbing a mile in 5 hours is 'hiking'\r<BR>\n" );
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document.write( "Your answer is correct as far as you took it. You just have the units wrong. Your answer is time ... not distance. Your answer says Carl was hiking for 270 minutes .. not 270 feet.<BR>\n" );
document.write( "Dave left 30 minutes earlier, so he has walked 300 minutes (same as my answer)\r<BR>\n" );
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document.write( "To convert time to distance, use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance+=+Rate+%2A+Time ALIGN=MIDDLE  ALT=\"Distance+=+Rate+%2A+Time\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );