document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38279>Question 38279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I am having difficulty trying to figure this problem out.  Any help or direction that you are able to provide in solving is most appreciated! \r<BR>\n" );
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document.write( "Two ships leave port at the same time.  Ship A sails north at a speed of 20mph while ship B sails east at a speed of 30mph.<BR>\n" );
document.write( "a.- Find an expression in terms of the time 't'(in hours) giving the distance between the two ships.<BR>\n" );
document.write( "b.- Using the expression obtained in part (a), find the distance between the two ships 2hr after leaving port. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23749 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make a right triangle diagram, with one leg going north (y) and one going east (x).  Label the hypotenuse z.<BR>\n" );
document.write( "In general D = RT, distance = rate*time, so we can write<BR>\n" );
document.write( "y = 20t and x = 30t<BR>\n" );
document.write( "Now from the Pythagorean Theorem, we know<BR>\n" );
document.write( "z^2 = x^2 + y^2<BR>\n" );
document.write( "So let us substitute<BR>\n" );
document.write( "z^2 = (30t)^2 + (20t)^2<BR>\n" );
document.write( "z^2 = 900t^2 + 400t^2<BR>\n" );
document.write( "z^2 = 1300t^2<BR>\n" );
document.write( "z = sqrt(1300t^2)<BR>\n" );
document.write( "z = 10t*sqrt(13)<BR>\n" );
document.write( "and we're done with part a...<BR>\n" );
document.write( "In part b, t = 10, so <BR>\n" );
document.write( "z = 10*10*sqrt(13)<BR>\n" );
document.write( "z = 100*sqrt(13)<BR>\n" );
document.write( "z = 360.6 mi </SPAN>\n" );
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