document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=813579>Question 813579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a plane travels at a speed of 210mph in still air. Flying with a tailwind the plane is clocked over a distance of 675.flying against a headwind it take one more hour time to complete the return trip.what was 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 #489842 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=489842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p = 210<BR>\n" );
document.write( "---<BR>\n" );
document.write( "t = d / s<BR>\n" );
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document.write( "downwind flight:<BR>\n" );
document.write( "a = 675/(p + w) ... X<BR>\n" );
document.write( "b = 675/(p - w)<BR>\n" );
document.write( "b = a + 1<BR>\n" );
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document.write( "upwind flight:<BR>\n" );
document.write( "b = 675/(p - w)<BR>\n" );
document.write( "a + 1 = 675/(p - w)<BR>\n" );
document.write( "a = 675/(p - w) - 1 ... Y<BR>\n" );
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document.write( "X = Y<BR>\n" );
document.write( "a = 675/(p + w) = a = 675/(p - w) - 1<BR>\n" );
document.write( "675/(p + w) = 675/(p - w) - 1<BR>\n" );
document.write( "1 = 675/(p - w) - 675/(p + w)<BR>\n" );
document.write( "1 = 675(p + w)/(p - w)(p + w) - 675(p - w)/((p - w)(p + w))<BR>\n" );
document.write( "1 = ( 675(p + w) - 675(p - w) )/((p - w)(p + w))<BR>\n" );
document.write( "1 = ( 675p + 675w - 675p + 675w )/((p - w)(p + w))<BR>\n" );
document.write( "1 = ( 675w + 675w )/((p - w)(p + w))<BR>\n" );
document.write( "1 = 1350w/((p - w)(p + w))<BR>\n" );
document.write( "recall that p = 210<BR>\n" );
document.write( "1 = 1350w/((210 - w)(210 + w))<BR>\n" );
document.write( "1 = 1350w/(44100 - ww)<BR>\n" );
document.write( "44100 - ww = 1350w<BR>\n" );
document.write( "ww + 1350w - 44100 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=1, b=1350, and c=-44100<BR>\n" );
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document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "1 1350 -44100<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "Answer 1:<BR>\n" );
document.write( "the quadratic has two real roots, but one is negative, so use the positive root:<BR>\n" );
document.write( "w = 31.9 mph<BR>\n" );
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document.write( "you can also find the times for downwind and upwind flights by solving the above equations for a and b:<BR>\n" );
document.write( "a = 2.79 hours<BR>\n" );
document.write( "b = 3.79 hours<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );