document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162663>Question 162663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A MAN ROWED 10 KM UP A RIVER IN 5 HOURS AND BACK IN 21 AND A HALF HOURS. FIND THE RATE OF THE CURRENT AND HIS RATE OF ROWING 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 #119879 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=119879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let his rate in still water = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let the rate of the current = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "His rate against the current is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+-+c ALIGN=MIDDLE  ALT=\"s+-+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "His rate with the current is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+%2B+c ALIGN=MIDDLE  ALT=\"s+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The distance both ways is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >km<BR>\n" );
document.write( "distance = rate * time<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+%28s+%2B+c%29%2A5 ALIGN=MIDDLE  ALT=\"10+=+%28s+%2B+c%29%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi (with the current)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+%28s+-+c%29%2A21.5 ALIGN=MIDDLE  ALT=\"10+=+%28s+-+c%29%2A21.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi (against the current)<BR>\n" );
document.write( "----------------------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+5s+%2B+5c ALIGN=MIDDLE  ALT=\"10+=+5s+%2B+5c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+21.5s+-+21.5c ALIGN=MIDDLE  ALT=\"10+=+21.5s+-+21.5c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+215s+-+215c ALIGN=MIDDLE  ALT=\"100+=+215s+-+215c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=43 ALIGN=MIDDLE  ALT=\"43\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=430+=+215s+%2B+215c ALIGN=MIDDLE  ALT=\"430+=+215s+%2B+215c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+215s+-+215c ALIGN=MIDDLE  ALT=\"100+=+215s+-+215c\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now add the equations<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=530+=+430s ALIGN=MIDDLE  ALT=\"530+=+430s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+1.233 ALIGN=MIDDLE  ALT=\"s+=+1.233\"   DISABLED_style= \"max-width:90%; height:auto;\" >km/hr<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+5s+%2B+5c ALIGN=MIDDLE  ALT=\"10+=+5s+%2B+5c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5c+=+10+-+5%2A1.233 ALIGN=MIDDLE  ALT=\"5c+=+10+-+5%2A1.233\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5c+=+10+-+6.163 ALIGN=MIDDLE  ALT=\"5c+=+10+-+6.163\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5c+=+3.837 ALIGN=MIDDLE  ALT=\"5c+=+3.837\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+.7674 ALIGN=MIDDLE  ALT=\"c+=+.7674\"   DISABLED_style= \"max-width:90%; height:auto;\" >km/hr<BR>\n" );
document.write( "His rate in still water is 1.233 km/hr<BR>\n" );
document.write( "The rate of the current is .7674 km/hr<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+%28s+%2B+c%29%2A5 ALIGN=MIDDLE  ALT=\"10+=+%28s+%2B+c%29%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+%28s+-+c%29%2A21.5 ALIGN=MIDDLE  ALT=\"10+=+%28s+-+c%29%2A21.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+%281.233+%2B+.7674%29%2A5 ALIGN=MIDDLE  ALT=\"10+=+%281.233+%2B+.7674%29%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+2.0004%2A5 ALIGN=MIDDLE  ALT=\"10+=+2.0004%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+10.002 ALIGN=MIDDLE  ALT=\"10+=+10.002\"   DISABLED_style= \"max-width:90%; height:auto;\" > error due to rounding off<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+%28s+-+c%29%2A21.5 ALIGN=MIDDLE  ALT=\"10+=+%28s+-+c%29%2A21.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+%281.233+-+.7674%29%2A21.5 ALIGN=MIDDLE  ALT=\"10+=+%281.233+-+.7674%29%2A21.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+.4656%2A21.5 ALIGN=MIDDLE  ALT=\"10+=+.4656%2A21.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+10.010 ALIGN=MIDDLE  ALT=\"10+=+10.010\"   DISABLED_style= \"max-width:90%; height:auto;\" > (error due to rounding)<BR>\n" );
document.write( "OK   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );