document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329025>Question 329025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplane can travel 450 miles into the wind in 2 hours and 25 minutes. This plane takes the same time to travel 630 miles with the wind. Find the speed of the airplane without any wind. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235746 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=235746\">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=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" > = wind speed<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of plane without wind<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+w ALIGN=MIDDLE  ALT=\"a+-+w\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of plane flying into wind<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+w ALIGN=MIDDLE  ALT=\"a+%2B+w\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of plane flying with the wind<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450+=+%28a+-+w%29%2A2.4167 ALIGN=MIDDLE  ALT=\"450+=+%28a+-+w%29%2A2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630+=+%28a+%2B+w%29%2A2.4167 ALIGN=MIDDLE  ALT=\"630+=+%28a+%2B+w%29%2A2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 2 equations with 2 unknowns so it's solvable<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Divide both sides of each by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.4167 ALIGN=MIDDLE  ALT=\"2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+w+=+450%2F2.4167 ALIGN=MIDDLE  ALT=\"a+-+w+=+450%2F2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+w+=+630%2F2.4167 ALIGN=MIDDLE  ALT=\"a+%2B+w+=+630%2F2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" > add the equations<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+=+1080%2F2.4167 ALIGN=MIDDLE  ALT=\"2a+=+1080%2F2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a+=+446.890 ALIGN=MIDDLE  ALT=\"2a+=+446.890\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+223.4452 ALIGN=MIDDLE  ALT=\"a+=+223.4452\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+w+=+630%2F2.4167 ALIGN=MIDDLE  ALT=\"a+%2B+w+=+630%2F2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+260.686+-+223.4452 ALIGN=MIDDLE  ALT=\"w+=+260.686+-+223.4452\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+37.241 ALIGN=MIDDLE  ALT=\"w+=+37.241\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "The speed of the plane without wind is 223.445 mi/hr<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450+=+%28a+-+w%29%2A2.4167 ALIGN=MIDDLE  ALT=\"450+=+%28a+-+w%29%2A2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450+=+%28223.4452+-+37.241%29%2A2.4167 ALIGN=MIDDLE  ALT=\"450+=+%28223.4452+-+37.241%29%2A2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450+=+186.2042%2A2.4167 ALIGN=MIDDLE  ALT=\"450+=+186.2042%2A2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450+=+449.9997 ALIGN=MIDDLE  ALT=\"450+=+449.9997\"   DISABLED_style= \"max-width:90%; height:auto;\" > close enough<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630+=+%28a+%2B+w%29%2A2.4167 ALIGN=MIDDLE  ALT=\"630+=+%28a+%2B+w%29%2A2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630+=+%28223.4452+%2B+37.241%29%2A2.4167 ALIGN=MIDDLE  ALT=\"630+=+%28223.4452+%2B+37.241%29%2A2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630+=+260.6862%2A2.4167 ALIGN=MIDDLE  ALT=\"630+=+260.6862%2A2.4167\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=630+=+630.0003 ALIGN=MIDDLE  ALT=\"630+=+630.0003\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );