document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184082>Question 184082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man rowing at the rate of 5 km/hr in still water takes thrice as much time in going 40 km upstream as he takes  in going same distance downstream. find the rate at which water is flowing. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138093 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=138093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man rowing at the rate of 5 km/hr in still water takes thrice as much time in going 40 km upstream as he takes in going same distance downstream. find the rate at which water is flowing.<BR>\n" );
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document.write( "Let x = the rate water is flowing<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(5+x) = boat speed downstream<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(5-x) = boat speed upstream<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let d = distance one way<BR>\n" );
document.write( ";<BR>\n" );
document.write( "write a time equation; Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "upstream time = 3 times downstream time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F%28%285-x%29%29 ALIGN=MIDDLE  ALT=\"d%2F%28%285-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F%28%285%2Bx%29%29 ALIGN=MIDDLE  ALT=\"d%2F%28%285%2Bx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F%28%285-x%29%29 ALIGN=MIDDLE  ALT=\"d%2F%28%285-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283d%29%2F%28%285%2Bx%29%29 ALIGN=MIDDLE  ALT=\"%283d%29%2F%28%285%2Bx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "d(5+x) = 3d(5-x)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "divide both sides d and eliminate it:<BR>\n" );
document.write( "5 + x  = 3(5 - x)<BR>\n" );
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document.write( "5 + x = 15 - 3x<BR>\n" );
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document.write( "x + 3x  = 15 - 5<BR>\n" );
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document.write( "4x = 10<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F4 ALIGN=MIDDLE  ALT=\"10%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 2.5 km/hr is the rate of the current<BR>\n" );
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document.write( "Check solution by finding the distances, should be equal:<BR>\n" );
document.write( " 5 + 2.5 = 7.5<BR>\n" );
document.write( "3(5 - 2.5) = 7.5\r<BR>\n" );
document.write( "\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );