document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179660>Question 1179660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A motorboat traveling with the current went 42 mi in 3.5 h. Traveling against the current, the boat went 18 mi in 3 h. Find the rate of the boat in calm water and 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 #853778 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39736)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ust a different example of one of the frequent forms of travel-problems.\r<BR>\n" );
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document.write( "r, speed of boat if no current<BR>\n" );
document.write( "c, speed of current<BR>\n" );
document.write( "D, the large distance in T, the large time<BR>\n" );
document.write( "d, the small distance in t, the small time\r<BR>\n" );
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document.write( "The unknown variables for this example are r and c.<BR>\n" );
document.write( "The other variables are given.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28r%2Bc=D%2FT%2Cr-c=d%2Ft%29 ALIGN=MIDDLE  ALT=\"system%28r%2Bc=D%2FT%2Cr-c=d%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "add corresponding parts\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r=D%2FT%2Bd%2Ft ALIGN=MIDDLE  ALT=\"2r=D%2FT%2Bd%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r=%28Dt%2BdT%29%2F%28Tt%29 ALIGN=MIDDLE  ALT=\"2r=%28Dt%2BdT%29%2F%28Tt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28r=%28Dt%2BdT%29%2F%282Tt%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28r=%28Dt%2BdT%29%2F%282Tt%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "subtract corresponding parts\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c=D%2FT-d%2Ft ALIGN=MIDDLE  ALT=\"2c=D%2FT-d%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c=%28Dt-dT%29%2F%28Tt%29 ALIGN=MIDDLE  ALT=\"2c=%28Dt-dT%29%2F%28Tt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28c=%28Dt-dT%29%2F%282Tt%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28c=%28Dt-dT%29%2F%282Tt%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Problem description gives D=42, T=3.5, d=18, and t=3.<BR>\n" );
document.write( "Using these to evaluate r and c,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%2842%2A3%2B18%2A3.5%29%2F%282%2A3.5%2A3%29 ALIGN=MIDDLE  ALT=\"r=%2842%2A3%2B18%2A3.5%29%2F%282%2A3.5%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=%2842%2A3-18%2A3.5%29%2F%282%2A3.5%2A3%29 ALIGN=MIDDLE  ALT=\"c=%2842%2A3-18%2A3.5%29%2F%282%2A3.5%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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