document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746316>Question 746316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ship leaves a port at 12:00 Noon and sails East at speed of 10 miles/hour. Another ship leaves<BR>\n" );
document.write( "the same port at 1:00 PM and sails North at a speed of 20 miles/hour. At what time are the two<BR>\n" );
document.write( "ships going to be 50 miles apart from each other? (Hint: Distance = Speed * Time) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454404 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=454404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ship leaves a port at 12:00 Noon and sails East at speed of 10 miles/hour.<BR>\n" );
document.write( " Another ship leaves the same port at 1:00 PM and sails North at a speed of 20 miles/hour.<BR>\n" );
document.write( "At what time are the two ships going to be 50 miles apart from each other?<BR>\n" );
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document.write( "Let t = sailing time of the Northbound ship (From 1 PM)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+1) = sailing time of the Eastbound<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 = 20t<BR>\n" );
document.write( "b = 10(t+1)<BR>\n" );
document.write( "c = 50 mi<BR>\n" );
document.write( "(20t)^2 + (10t+10)^2 = 50^2<BR>\n" );
document.write( "400t^2 + 100t^2 + 200t + 100 = 2500<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "500t^2 + 200t + 100 - 2500 = 0<BR>\n" );
document.write( "500t^2 + 200t - 2400 = 0<BR>\n" );
document.write( "simplify, divide by 100<BR>\n" );
document.write( "5t^2 + 2t - 24 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(5t+12)(t-2) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "t = 2 hrs, therefore at 3 PM, they will be 50 mi apart<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this out<BR>\n" );
document.write( "2(20) = 40 mi traveled by northbound ship<BR>\n" );
document.write( "3(10) = 30 mi traveled by the eastbound<BR>\n" );
document.write( "Enter into your calc; enter:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2840%5E2%2B30%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2840%5E2%2B30%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 50<BR>\n" );
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