document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132751>Question 132751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> With Current, a motorboat travels 60 mi in 3 h. Against the current, it takes 2h longer to travel 60 mi. Find the rate of the current. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97013 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=97013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rate of the boat in still water: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bb%5D ALIGN=MIDDLE  ALT=\"r%5Bb%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rate of the current: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D ALIGN=MIDDLE  ALT=\"r%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then:<BR>\n" );
document.write( "Rate of the boat with the current: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bb%5D%2Br%5Bc%5D ALIGN=MIDDLE  ALT=\"r%5Bb%5D%2Br%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rate of the boat against the current: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bb%5D-r%5Bc%5D ALIGN=MIDDLE  ALT=\"r%5Bb%5D-r%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=d%2Ft ALIGN=MIDDLE  ALT=\"r=d%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the rate of the boat with the current is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F3=20 ALIGN=MIDDLE  ALT=\"60%2F3=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the rate of the boat against the current is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F%283%2B2%29=60%2F5=12 ALIGN=MIDDLE  ALT=\"60%2F%283%2B2%29=60%2F5=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bb%5D%2Br%5Bc%5D=20 ALIGN=MIDDLE  ALT=\"r%5Bb%5D%2Br%5Bc%5D=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bb%5D-r%5Bc%5D=12 ALIGN=MIDDLE  ALT=\"r%5Bb%5D-r%5Bc%5D=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add the two equations term by term to eliminate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D ALIGN=MIDDLE  ALT=\"r%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r%5Bb%5D=32 ALIGN=MIDDLE  ALT=\"2r%5Bb%5D=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bb%5D=16 ALIGN=MIDDLE  ALT=\"r%5Bb%5D=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bb%5D%2Br%5Bc%5D=20 ALIGN=MIDDLE  ALT=\"r%5Bb%5D%2Br%5Bc%5D=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Br%5Bc%5D=20 ALIGN=MIDDLE  ALT=\"16%2Br%5Bc%5D=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and finally <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D=4 ALIGN=MIDDLE  ALT=\"r%5Bc%5D=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "16 + 4 = 20 mph times 3 hours = 60 miles<BR>\n" );
document.write( "16 - 4 = 12 mph times (3 + 2) hours = 60 miles<BR>\n" );
document.write( "Answer checks. </SPAN>\n" );
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