document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318363>Question 318363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Greetings,\r<BR>\n" );
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document.write( "Francois went 36 miles downstream and returned. The round trip took 5+1/4 (5.25) hours. Find the speed of the boat in still water and the speed of the current if the speed of the current is 1/7 the speed of the boat.\r<BR>\n" );
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document.write( "Thank you in advance for any assistance, have a great week! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228007 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=228007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Francois went 36 miles downstream and returned.<BR>\n" );
document.write( " The round trip took 5+1/4 (5.25) hours. Find the speed of the boat in still <BR>\n" );
document.write( "water and the speed of the current if the speed of the current is 1/7 the speed of the boat.<BR>\n" );
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document.write( "Let s = speed of boat in still water<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >s = speed of the current<BR>\n" );
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document.write( "The current is added and subtracted from the boat speed so we can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F7 ALIGN=MIDDLE  ALT=\"8%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >s = speed downstream<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F7 ALIGN=MIDDLE  ALT=\"6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >s = speed upstream<BR>\n" );
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document.write( "Write a time equation, time = dist/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F%28%286s%29%2F7%29%29 ALIGN=MIDDLE  ALT=\"36%2F%28%286s%29%2F7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F%28%288s%29%2F7%29%29 ALIGN=MIDDLE  ALT=\"36%2F%28%288s%29%2F7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5.25<BR>\n" );
document.write( "invert the dividing fractions and multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2836%29%2F6s%29 ALIGN=MIDDLE  ALT=\"%287%2836%29%2F6s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2836%29%2F8s%29 ALIGN=MIDDLE  ALT=\"%287%2836%29%2F8s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5.25<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28252%2F6s%29 ALIGN=MIDDLE  ALT=\"%28252%2F6s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28252%2F8s%29 ALIGN=MIDDLE  ALT=\"%28252%2F8s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5.25<BR>\n" );
document.write( "multiply by 24s to eliminate the denominators<BR>\n" );
document.write( "4(252) + 3(252) = 5.25(24s)<BR>\n" );
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document.write( "1008 + 756 = 126s<BR>\n" );
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document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1764%2F126 ALIGN=MIDDLE  ALT=\"1764%2F126\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 14 mph is the speed of the boat in still water<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >*14 = 2 mph is speed of the current<BR>\n" );
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document.write( "See if this is true<BR>\n" );
document.write( "36/16 + 36/12 = <BR>\n" );
document.write( "2.25 + 3 = 5.25 hrs; confirms our solutions<BR>\n" );
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