document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152450>Question 152450</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A boy rows his boat 8 km downstream in 1 hour and 4 min, and returns in <BR>\n" );
document.write( "    2 2/7 hours. At what rate will he row in still water? What is the rate <BR>\n" );
document.write( "    of  the current?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112088 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=112088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A boy rows his boat 8 km downstream in 1 hour and 4 min, and returns in<BR>\n" );
document.write( "2 2/7 hours. At what rate will he row in still water? What is the rate<BR>\n" );
document.write( "of the current? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = his rowing rate in still water<BR>\n" );
document.write( "Let y = rate of the current<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+y) = his rate down stream<BR>\n" );
document.write( "(x-y) = his rate up stream<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Convert 4 min to hrs: 4/60 = 1/15 hr<BR>\n" );
document.write( ":<BR>\n" );
document.write( "write a distance equation for each trip; dist = time * rate<BR>\n" );
document.write( ";<BR>\n" );
document.write( "1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F15 ALIGN=MIDDLE  ALT=\"1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x+y) = 8<BR>\n" );
document.write( "2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F7 ALIGN=MIDDLE  ALT=\"2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x-y) = 8<BR>\n" );
document.write( "Convert to improper fractions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F15 ALIGN=MIDDLE  ALT=\"16%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x+y) = 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F7 ALIGN=MIDDLE  ALT=\"16%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x-y) = 8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply each equation by the denominator to get rid of the denominators<BR>\n" );
document.write( "16(x+y) = 15(8)<BR>\n" );
document.write( "16(x-y) = 7(8)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "16x + 16y = 120<BR>\n" );
document.write( "16x - 16y = 56<BR>\n" );
document.write( "--------------------adding eliminates y, find x<BR>\n" );
document.write( "32x + 0y = 176<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=176%2F32 ALIGN=MIDDLE  ALT=\"176%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 5<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hr is the rowing rate<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the current using the simplified equation: 16x + 16y = 120; (x=5.5)<BR>\n" );
document.write( "16(5.5) + 16y = 120<BR>\n" );
document.write( "88 + 16y = 120<BR>\n" );
document.write( "16y = 120 - 88<BR>\n" );
document.write( "16y = 32<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%2F16 ALIGN=MIDDLE  ALT=\"32%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 2 km/hr is the current rate<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check our solutions in the 2nd original equation; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F7 ALIGN=MIDDLE  ALT=\"16%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x-y) = 8 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F7 ALIGN=MIDDLE  ALT=\"16%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(5<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 2) = 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F7 ALIGN=MIDDLE  ALT=\"16%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >*3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F7 ALIGN=MIDDLE  ALT=\"16%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F2 ALIGN=MIDDLE  ALT=\"7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F2 ALIGN=MIDDLE  ALT=\"16%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8; confirms our solutions </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );