document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468959>Question 468959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a motor boat travelling at 18 miles per hour travellled the length of a lake in one quarterof an hour less time than it took when travelling at 12 miles per hour. what was the length in miles of the lake? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321746 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let d=distance, r=speed, t =time<BR>\n" );
document.write( "d = r*t<BR>\n" );
document.write( "******************<BR>\n" );
document.write( "Trip 1:<BR>\n" );
document.write( "t represents time to travel lake at 12 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+18%28t-%281%2F4%29%29 ALIGN=MIDDLE  ALT=\"d+=+18%28t-%281%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Goal is to solve for d, so get t in terms of d<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F18+=+t+-+%281%2F4%29 ALIGN=MIDDLE  ALT=\"d%2F18+=+t+-+%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2F18%29%2B%281%2F4%29+=+t ALIGN=MIDDLE  ALT=\"%28d%2F18%29%2B%281%2F4%29+=+t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "********************<BR>\n" );
document.write( "Trip 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+12t ALIGN=MIDDLE  ALT=\"d+=+12t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F12+=+t ALIGN=MIDDLE  ALT=\"d%2F12+=+t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "*********************<BR>\n" );
document.write( "Set equations equal to each other, since both are equal to t<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F12+=+%28d%2F18%29%2B%281%2F4%29 ALIGN=MIDDLE  ALT=\"d%2F12+=+%28d%2F18%29%2B%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Eliminate fractions by multiplying equation by 36<BR>\n" );
document.write( "LCM of 4,12,18 is 36 --> 4*9=36, 12*3 = 36, 18*2 =36<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3d+=+2d+%2B+9 ALIGN=MIDDLE  ALT=\"3d+=+2d+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 2d on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+9 ALIGN=MIDDLE  ALT=\"d+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Length of lake is 9 mi.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );