document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203302>Question 203302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane travels at a speed of 220mph in still air.  Flying with a tailwind, the plane is clocked over a distance of 975 miles.  Flying against a headwind it takes 1 hour more time to complete the return trip.  What was the wind velocity.  Round to nearest tenth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153372 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane travels at a speed of 220mph in still air. Flying with a tailwind, the plane is clocked over a distance of 975 miles. Flying against a headwind it takes 1 hour more time to complete the return trip. What was the wind velocity. Round to nearest tenth.<BR>\n" );
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document.write( "With-the-wind DATA:<BR>\n" );
document.write( "distance = 975 miles ; rate = (220+w) mph ; time = d/r = 975/(220+w) hrs<BR>\n" );
document.write( "-------------------------------------------------<BR>\n" );
document.write( "Against-the-wind DATA:<BR>\n" );
document.write( "distance = 975 miles ; rate = (220-w) mph ; time = d/r = 975/(220-w) hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time against - time with = 1 hr<BR>\n" );
document.write( "975/(220-w) - 975/(220+w) = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "975(220+w) - 975(220-w) = (220+w)(220-w)<BR>\n" );
document.write( "2(975w) = 220^2 - w^2<BR>\n" );
document.write( "w^2 + 1950w - 46450 = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "w = 24.512 mph (rate of the wind)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( " </SPAN>\n" );
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