document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006534>Question 1006534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me love this question A plane flies 490 miles with the wind and 310 miles against the wind in the same length of time. If the average velocity of the wind is 27 mph, what is the average velocity of the plane in still air? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622655 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+ ALIGN=MIDDLE  ALT=\"+p+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the average speed of the<BR>\n" );
document.write( "plane in still air<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+%2B+27+ ALIGN=MIDDLE  ALT=\"+p+%2B+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the average speed of the<BR>\n" );
document.write( "plane flying with the wind<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+-+27+ ALIGN=MIDDLE  ALT=\"+p+-+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the average speed of the<BR>\n" );
document.write( "plane flying against the wind<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Equation for flying with the wind:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+490+=+%28+p+%2B+27+%29%2At+ ALIGN=MIDDLE  ALT=\"+490+=+%28+p+%2B+27+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for flying against the wind:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+310+=+%28+p+-+27+%29%2At+ ALIGN=MIDDLE  ALT=\"+310+=+%28+p+-+27+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+490+%2F+%28+p+%2B+27+%29+ ALIGN=MIDDLE  ALT=\"+t+=+490+%2F+%28+p+%2B+27+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this result into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+310+=+%28+p+-+27+%29%2A%28+490+%2F+%28+p+%2B+27+%29+%29+ ALIGN=MIDDLE  ALT=\"+310+=+%28+p+-+27+%29%2A%28+490+%2F+%28+p+%2B+27+%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+%2B+27+ ALIGN=MIDDLE  ALT=\"+p+%2B+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+310%2A%28+p+%2B+27+%29+=+490%2A%28+p+-+27+%29+ ALIGN=MIDDLE  ALT=\"+310%2A%28+p+%2B+27+%29+=+490%2A%28+p+-+27+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+310p+%2B+8370+=+490p+-+13230+ ALIGN=MIDDLE  ALT=\"+310p+%2B+8370+=+490p+-+13230+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+180p+=+21600+ ALIGN=MIDDLE  ALT=\"+180p+=+21600+\"   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+=+120+ ALIGN=MIDDLE  ALT=\"+p+=+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The plane's speed in still air is 120 mi/hr<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+490+=+%28+p+%2B+27+%29%2At+ ALIGN=MIDDLE  ALT=\"+490+=+%28+p+%2B+27+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+490+=+%28+120+%2B+27+%29%2At+ ALIGN=MIDDLE  ALT=\"+490+=+%28+120+%2B+27+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+490+=+147t+ ALIGN=MIDDLE  ALT=\"+490+=+147t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3.333+ ALIGN=MIDDLE  ALT=\"+t+=+3.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs ( 1 hr 20 min )<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+310+=+%28+p+-+27+%29%2At+ ALIGN=MIDDLE  ALT=\"+310+=+%28+p+-+27+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+310+=+%28+120+-+27+%29%2At+ ALIGN=MIDDLE  ALT=\"+310+=+%28+120+-+27+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+310+=+93t+ ALIGN=MIDDLE  ALT=\"+310+=+93t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3.333+ ALIGN=MIDDLE  ALT=\"+t+=+3.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );