document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007986>Question 1007986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane travels at a speed of 190 mph in still air.  Flying with a tailwind, the plane is clocked over a distance of 950 miles.  Flying against a headwind, it takes 2 hours longer to complete the return trip. What was the wind velocity? (Round your answer to the 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 #623768 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=623768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane travels at a speed of 190 mph in still air. Flying with a tailwind, the plane is clocked over a distance of 950 miles. Flying against a headwind, it takes 2 hours longer to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.) <BR>\n" );
document.write( "------<BR>\n" );
document.write( "With wind DATA:<BR>\n" );
document.write( "rate = 190+w mph ; distance = 950 miles ; time = d/r = 950/(190+w) hrs<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Against wind DATA:<BR>\n" );
document.write( "rate = 190-w mph ; distance = 950 miles ; time = 950/(190-w) hrs<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "against - with = 2 hrs<BR>\n" );
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document.write( "950/(190-w) - 950/(190+w) = 2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "950(190+w) - 950(190-w) = 2(190^2-w^2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2(950w) = 2(190^2-w^2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "w^2 + 950w - 190^2 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "wind = 36.59 mph<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );