document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4290>Question 4290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A freighter leaves port steaming South. Two hours later a Coast Guard Cutter located 50 miles to the north of the port is ordered to give chase. If it takes the cutter 4 hours to overtake the ship steaming at 20 miles per hour faster, how fast were both traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1930 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = rate of the freighter.<BR>\n" );
document.write( "   x + 20 = rate of the Coast Guard Cutter<BR>\n" );
document.write( "    4 + 2 = 6 = time of the freighter<BR>\n" );
document.write( "    4 = time of the Coast Guard Cutter\r<BR>\n" );
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document.write( "    D=RT    <BR>\n" );
document.write( "    6x= distance of the freighter<BR>\n" );
document.write( "    4(x + 20) = distance of Coast Guard Cutter\r<BR>\n" );
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document.write( "   <BR>\n" );
document.write( "The equation is based upon the fact that:\r<BR>\n" );
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document.write( "Distance traveled by the Coast Guard Cutter is 50 miles more than the distance traveled by the freighter<BR>\n" );
document.write( "4(x + 20)  = 6x + 50<BR>\n" );
document.write( "4x + 80 = 6x + 50\r<BR>\n" );
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document.write( "Subtract 4x from each side:<BR>\n" );
document.write( "4x - 4x + 80 = 6x - 4x + 50<BR>\n" );
document.write( "80 = 2x + 50\r<BR>\n" );
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document.write( "Subtract 50 from each side:<BR>\n" );
document.write( "80 - 50 = 2x + 50 - 50<BR>\n" );
document.write( "30 = 2x<BR>\n" );
document.write( "x = 15 mph = rate of the freighter<BR>\n" );
document.write( "x+20 = 35 mph = rate of Coast Guard Cutter.\r<BR>\n" );
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document.write( "Check:  Freighter travels 15 mph for 6 hours, which is 90 miles.  The Coast Guard Cutter travels at 35 mph for 4 hours, which is 140 miles, a difference of 50 miles.  \r<BR>\n" );
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document.write( "Nice problem.\r<BR>\n" );
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document.write( "R^2 from SCC<BR>\n" );
document.write( " </SPAN>\n" );
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