document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=445118>Question 445118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane travels at a speed of 180 mph in still air.  Flying with a tailwind, the plane is clocked over a distance of 875 miles.  Flying against a headwind, it takes 1 hour more time to complete the return trip.  What is the wind velocity? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306715 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=306715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane travels at a speed of 180 mph in still air. Flying with a tailwind, the plane is clocked over a distance of 875 miles. Flying against a headwind, it takes 1 hour more time to complete the return trip. What is the wind velocity?<BR>\n" );
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document.write( "With-wind DATA:<BR>\n" );
document.write( "dist = 875 miles ; rate = 180+w mph ; time = 875/(180+w) hrs.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Against-wind DATA:<BR>\n" );
document.write( "dist = 875 miles ; rate = 180-w mph ; time =  875/(180-w) hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "against time - with time = 1 hr<BR>\n" );
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document.write( "875/(180-w) - 875/(180+w) = 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "875(180+w) - 875(180-w) = (180^2-w^2)<BR>\n" );
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document.write( "875w+875w = 180^2-w^2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "w^2 + 1750w - 180^2 = 0<BR>\n" );
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document.write( "w = 18.32245...(wind speed)<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" );