document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240857>Question 240857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane with the wind traveled 855 miles at 143mph.  flying against the wind at the same rate of speed it traveled 575 miles.  Find the rate of the wind and the time it took to travel in either direction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176503 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=176503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane with the wind traveled 855 miles at 143mph.<BR>\n" );
document.write( " flying against the wind at the same rate of speed it traveled 575 miles.<BR>\n" );
document.write( " Find the rate of the wind and the time it took to travel in either direction.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let w = rate of the wind<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(143-w) = plane speed against the wind<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(143+w) = plane speed with the wind:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Assume that the time for each trip was equal; write a time equation: Time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=855%2F%28143%2Bw%29 ALIGN=MIDDLE  ALT=\"855%2F%28143%2Bw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=575%2F%28143-w%29 ALIGN=MIDDLE  ALT=\"575%2F%28143-w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "575(143+w) = 855(143-w)<BR>\n" );
document.write( ";<BR>\n" );
document.write( "82225 + 575w = 122265 - 855w<BR>\n" );
document.write( ":<BR>\n" );
document.write( "575w + 855w = 122265 - 82225<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1430w = 40040<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40040%2F1430 ALIGN=MIDDLE  ALT=\"40040%2F1430\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w = 28 mph is the rate of the wind<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the time:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=855%2F%28143%2B28%29 ALIGN=MIDDLE  ALT=\"855%2F%28143%2B28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 hrs<BR>\n" );
document.write( "Check solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=575%2F%28143-28%29 ALIGN=MIDDLE  ALT=\"575%2F%28143-28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 hrs also<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );