document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191679>Question 1191679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cruise ships are sailing towards each other from Caribbean islands that are 264 km apart. One ship travels 4km/h faster than the other. If they both started at the same time and meet after 6 h, how fast is each ship travelling?\r<BR>\n" );
document.write( "\n" );
document.write( "(The solution is supposed to be the point of intersection between a system of two linear equations) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823473 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=823473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cruise ships are sailing towards each other from Caribbean islands that are 264 km apart. One ship travels 4km/h faster than the other.<BR>\n" );
document.write( " If they both started at the same time and meet after 6 h, how fast is each ship travelling? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = the speed of the slower ship<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+4) = the speed of the faster ship<BR>\n" );
document.write( "Write a distance equation, the total distance of the two ships = 264 km<BR>\n" );
document.write( "6x + 6(x+4) = 264<BR>\n" );
document.write( "6s + 6s + 24 = 264<BR>\n" );
document.write( "12s = 264 - 24<BR>\n" );
document.write( "s = 240/12<BR>\n" );
document.write( "s = 20 km/hr the slower ship, and obviously 24 km the faster<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this, find the dist each travels<BR>\n" );
document.write( "6(20) = 120<BR>\n" );
document.write( "6(24) = 144<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "total d: 264<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "However<BR>\n" );
document.write( "\"(The solution is supposed to be the point of intersection between a system of two linear equations)\"<BR>\n" );
document.write( "let x = faster ship<BR>\n" );
document.write( "let y = slower<BR>\n" );
document.write( "two equations<BR>\n" );
document.write( "x - y = 4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "6x + 6y = 264<BR>\n" );
document.write( "simplify, divide by 6<BR>\n" );
document.write( "x + y = 44<BR>\n" );
document.write( "Use elimination with these two equations<BR>\n" );
document.write( "x - y = 4<BR>\n" );
document.write( "x + y = 44<BR>\n" );
document.write( "--------------addition eliminates y, find x<BR>\n" );
document.write( "2x + 0 = 48<BR>\n" );
document.write( "x = 48/2<BR>\n" );
document.write( "x = 24 km/hr is the faster ship<BR>\n" );
document.write( "you can find y<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );