document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137774>Question 137774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay, I have another one using distance = rate times time but it has a twist.  I am totally stuck!  Please help!<BR>\n" );
document.write( "A penguin swimming with the ocean current in search of food takes 1 hour to travel 9 miles.  Its return trip upstream to its starting point takes it 3 hours.  What is the penguin's speed in still water?<BR>\n" );
document.write( "I figured its speed with the current and against it but have no idea how to figure out still water.  HELP!<BR>\n" );
document.write( "with current- 9=1r so r=9<BR>\n" );
document.write( "against current- 9=3r so r=3<BR>\n" );
document.write( "Now what??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100750 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100750\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No, you need to figure in the ocean current in the rate. <BR>\n" );
document.write( "Let's call the it R.<BR>\n" );
document.write( "If the penguin floats (doesn't swim), then he would travel at rate, R.<BR>\n" );
document.write( "When he's with the current, his rate is P+R, where P is his speed in still water. <BR>\n" );
document.write( "When he's against the current, his rate is P-R.<BR>\n" );
document.write( "Remember rate times time equals distance.<BR>\n" );
document.write( "The distance is 9 miles. <BR>\n" );
document.write( "Time with current is 1 hours.<BR>\n" );
document.write( "Time against current is 3 hours.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28P%2BR%29%281%29=9 ALIGN=MIDDLE  ALT=\"%28P%2BR%29%281%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28P-R%29%283%29=9 ALIGN=MIDDLE  ALT=\"%28P-R%29%283%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2BR=9 ALIGN=MIDDLE  ALT=\"P%2BR=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P-R=3 ALIGN=MIDDLE  ALT=\"P-R=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The simplest way is to add the two together to cancel out R.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2P=12 ALIGN=MIDDLE  ALT=\"2P=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=6 ALIGN=MIDDLE  ALT=\"P=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2BR=9 ALIGN=MIDDLE  ALT=\"P%2BR=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2BR=9 ALIGN=MIDDLE  ALT=\"6%2BR=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=3 ALIGN=MIDDLE  ALT=\"R=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The ocean current, R, is 3 miles per hour. <BR>\n" );
document.write( "The penguin speed, P, in still water is 6 miles per hour. \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );