document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6302>Question 6302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem Solving Using Systems of Equations\r<BR>\n" );
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document.write( "Julie and Eric row their boat(at a constant speed) 55 miles downstream for 5 hours, helped by the current. Row at the same rate, the trip back against the current takes 11 hours.  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 #3691 by </B><A HREF=/tutors/aboutme.mpl?userid=xcentaur><B>xcentaur(357)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=xcentaur><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=3691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the speed of their rowin be x mph<BR>\n" );
document.write( "let the speed of the current be y mph<BR>\n" );
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document.write( "then speed downstream=(x+y)mph<BR>\n" );
document.write( "distance=55 miles<BR>\n" );
document.write( "time=5 hours<BR>\n" );
document.write( "speed=d/t=55/5=11 mph<BR>\n" );
document.write( "therefore,(x+y)=11<BR>\n" );
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document.write( "speed upstream=(x-y)mph<BR>\n" );
document.write( "distance=55 miles<BR>\n" );
document.write( "time taken=11 hours<BR>\n" );
document.write( "speed=d/t=55/11=5 mph<BR>\n" );
document.write( "therefore,(x-y)=5 mph<BR>\n" );
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document.write( "Now we have a system of equations:<BR>\n" );
document.write( "x+y=11<BR>\n" );
document.write( "x-y=5<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear.solver>Linear System solver (using determinant)</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+11%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+5+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+11%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+5+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Any system of equations:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++a%5B11%5D%2Ax+%2B+a%5B12%5D%2Ay+=+b%5B1%5D%2C%0D%0A++++a%5B21%5D%2Ax+%2B+a%5B22%5D%2Ay+=+b%5B2%5D%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  has solution<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++x+=+%28b%5B1%5D%2Aa%5B22%5D+-+b%5B2%5D%2Aa%5B12%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%2C%0D%0A++++y+=+%28a%5B11%5D%2Ab%5B2%5D+-+a%5B21%5D%2Ab%5B1%5D%29%2F%28a%5B11%5D%2Aa%5B22%5D-a%5B21%5D%2Aa%5B12%5D%29%0D%0A++++%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  or<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++++x+=+%2811%2A-1+-+5%2A1%29%2F%281%2A-1-1%2A1%29+=+8%2C%0D%0A++++++y+=+%281%2A5+-+1%2A11%29%2F%281%2A-1-1%2A1%29+=+3%0D%0A++++%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  (x=8, y=3}<BR>\n" );
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document.write( "Thus we get,<BR>\n" );
document.write( "(x=8, y=3}<BR>\n" );
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document.write( "<font color=blue>Hence speed of current: 3 mph</font><BR>\n" );
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document.write( "Prabhat. </SPAN>\n" );
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