document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154026>Question 1154026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> rowing with a current keith rowed a canoe 3 miles an hour. on his return trip against the current keith take 1.5hours. how fast does keith row in still water and how fast is 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 #776377 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=776377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let current speed be x mph<BR>\n" );
document.write( "Let keith's speed in still water be y mph\r<BR>\n" );
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document.write( "Distance travelled in 1 hour = 3 miles<BR>\n" );
document.write( "Travelling with current, effective speed is (y + x) mph<BR>\n" );
document.write( "So the distance travelled = speed * time<BR>\n" );
document.write( "= (y + x) * 1 = (y + x) = 3<BR>\n" );
document.write( "Travelling against current, his effective speed is (y - x) mph<BR>\n" );
document.write( "At (y - x) mph, he took 1.5 hours for the same distance i.e. 3 miles\r<BR>\n" );
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document.write( "Since speed * time = distance, we get the equation\r<BR>\n" );
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document.write( "(y - x) * 1.5 = y + x = 3<BR>\n" );
document.write( "Which can be broken up as 2 equations in x and y as below\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+3 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5y+-+1.5x+=+3 ALIGN=MIDDLE  ALT=\"1.5y+-+1.5x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- (2)\r<BR>\n" );
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document.write( "Multiplying (1) by 1.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5x+%2B+1.5y+=+4.5 ALIGN=MIDDLE  ALT=\"1.5x+%2B+1.5y+=+4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- (3)\r<BR>\n" );
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document.write( "Adding (2) and (3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+7.5 ALIGN=MIDDLE  ALT=\"3y+=+7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "i.e.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2.5 ALIGN=MIDDLE  ALT=\"y+=+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3+-+y+=+0.5 ALIGN=MIDDLE  ALT=\"x+=+3+-+y+=+0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Speed in still water = 2.5 mph<BR>\n" );
document.write( "Speed of current = 0.5 mph\r<BR>\n" );
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document.write( "Check.<BR>\n" );
document.write( "With current, effective speed = 2.5 + 0.5 = 3 mph, so time taken to travel 3 miles = 3 / 3 = 1 hour (check)<BR>\n" );
document.write( "Against current, effective speed = 2.5 - 0.5 = 2 mph, so time taken to travel 3 miles = 3 / 2 = 1.5 hours (check)\r<BR>\n" );
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document.write( "Hope this helps!<BR>\n" );
document.write( " </SPAN>\n" );
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