document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990307>Question 990307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem: Two boats leave the buoy at the same time. One of the boats travels north at a rate of N miles per hour, and the other boat travels east at a rate of 4N miles per hour. What is the distance between the boats 30 minutes after both boats leave the buoy?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #610371 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=610371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two boats leave the buoy at the same time.<BR>\n" );
document.write( " One of the boats travels north at a rate of N miles per hour, and the other boat travels east at a rate of 4N miles per hour.<BR>\n" );
document.write( " What is the distance between the boats 30 minutes after both boats leave the buoy? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the distances they travel in .5 hrs (30 min). Dist = speed * time<BR>\n" );
document.write( "North: .5n<BR>\n" );
document.write( "East: .5(4n) = 2n<BR>\n" );
document.write( ":<BR>\n" );
document.write( "This is a pythag problem; a^2 + b^2 = c^2; where<BR>\n" );
document.write( "a = .5n<BR>\n" );
document.write( "b = 2n<BR>\n" );
document.write( "c = the distance between them<BR>\n" );
document.write( "c^2 = (.5n)^2 + (2n)^2<BR>\n" );
document.write( "c^2 = .25n^2 + 4n^2<BR>\n" );
document.write( "like terms<BR>\n" );
document.write( "c^2 = 4.25n^2<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284.25n%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%284.25n%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor inside the radical to reveal perfect squares<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25%2A17%2An%5E2%29 ALIGN=MIDDLE  ALT=\".25%2A17%2An%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Extract the square root of those<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5n%2Asqrt%2817%29 ALIGN=MIDDLE  ALT=\".5n%2Asqrt%2817%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or about 2.06 miles apart after 30 min </SPAN>\n" );
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