document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785071>Question 785071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To deliver a message, an army officer will travel by car at 75mph from Camp A to Camp B, and then by plane to Camp C against a wind blowing 40 mph. The airplane can fly 280 mph in still air. If the messenger takes 3  2/3 hours in going from Camp A to Camp C and 3  1/6 hours for the return trip, what is the distance from Camp A to Camp C? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477414 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=477414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To deliver a message, an army officer will travel by car at 75mph from Camp A to Camp B, and then by plane to Camp C against a wind blowing 40 mph.<BR>\n" );
document.write( " The airplane can fly 280 mph in still air.<BR>\n" );
document.write( " If the messenger takes 3 2/3 hours in going from Camp A to Camp C and 3 1/6 hours for the return trip,<BR>\n" );
document.write( " what is the distance from Camp A to Camp C?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = dist from A to B<BR>\n" );
document.write( "let y = dist from B to C<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+y) = dist from A to C<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We know the speed from A to B will be 75 mph both directions, however,<BR>\n" );
document.write( "Speed from B to C will be 240 mph against the wind, and,<BR>\n" );
document.write( "From C to B with the wind, it will be 320 mph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Change 2/3 to 4/6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation for each trip<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F75 ALIGN=MIDDLE  ALT=\"x%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F240 ALIGN=MIDDLE  ALT=\"y%2F240\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6 ALIGN=MIDDLE  ALT=\"4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F75 ALIGN=MIDDLE  ALT=\"x%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F320 ALIGN=MIDDLE  ALT=\"y%2F320\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------subtracting eliminates x, find y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F240 ALIGN=MIDDLE  ALT=\"y%2F240\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F320 ALIGN=MIDDLE  ALT=\"y%2F320\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F6 ALIGN=MIDDLE  ALT=\"3%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F240 ALIGN=MIDDLE  ALT=\"y%2F240\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F320 ALIGN=MIDDLE  ALT=\"y%2F320\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <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;\" ><BR>\n" );
document.write( "the common denominator of 960<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%2F960 ALIGN=MIDDLE  ALT=\"4y%2F960\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2F960 ALIGN=MIDDLE  ALT=\"3y%2F960\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2F960 ALIGN=MIDDLE  ALT=\"480%2F960\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2F960 ALIGN=MIDDLE  ALT=\"y%2F960\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2F960 ALIGN=MIDDLE  ALT=\"480%2F960\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 480 miles from B to C<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find time from B to C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2F240 ALIGN=MIDDLE  ALT=\"480%2F240\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find time from A to B<BR>\n" );
document.write( "3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6 ALIGN=MIDDLE  ALT=\"4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 2 = 1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6 ALIGN=MIDDLE  ALT=\"4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F6 ALIGN=MIDDLE  ALT=\"10%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the dist from A to B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F6 ALIGN=MIDDLE  ALT=\"10%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 75 = 125 miles <BR>\n" );
document.write( "then<BR>\n" );
document.write( "125 + 480 = 605 miles from A to C<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out; find the return trip time, use decimals this time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%2F75 ALIGN=MIDDLE  ALT=\"125%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480%2F320 ALIGN=MIDDLE  ALT=\"480%2F320\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "1.67 + 1.5 = 3.17 which is about 3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );