document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162960>Question 1162960</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coast guard cutter can sail 200 miles against the current in the same amount of time it can sail 260 miles with the current.  If the current is 3 miles per hour, how fast can the cutter sail in still water? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786888 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor demonstrates one good algebraic method for solving the problem: setting the two time (=distance/rate) expressions equal to each other and solving the equation.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2F%28r%2B3%29+=+200%2F%28r-3%29 ALIGN=MIDDLE  ALT=\"260%2F%28r%2B3%29+=+200%2F%28r-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "If you are good with mental arithmetic, the problem can be solved without algebra by setting up the problem differently.<br><BR>\n" );
document.write( "Since the times are the same, the ratio of distances is equal to the ratio of the speeds:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260%2F200+=+%28r%2B3%29%2F%28r-3%29 ALIGN=MIDDLE  ALT=\"260%2F200+=+%28r%2B3%29%2F%28r-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The difference between numerator and denominator on the right is 6 -- so write the fraction on the left as an equivalent fraction in which the difference between numerator and denominator is also 6:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F20+=+%28r%2B3%29%2F%28r-3%29 ALIGN=MIDDLE  ALT=\"26%2F20+=+%28r%2B3%29%2F%28r-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "r+3 = 26 and r-3 = 20...<br><BR>\n" );
document.write( "ANSWER: r = 23<br><BR>\n" );
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