document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818370>Question 818370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Any assistance with this word problem would be greatly appreciated.\r<BR>\n" );
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document.write( "An airplane can fly with the wind a distance of 900 miles in 3 hours. However, the return trip against the wind takes 5 hours. Find the speed of the plane in still air and the speed of the wind.\r<BR>\n" );
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document.write( "speed of the plane in still air _____________ mph\r<BR>\n" );
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document.write( "speed of the wind ___________________ mph  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492497 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An airplane can fly with the wind a distance of 900 miles in 3 hours. However, the return trip against the wind takes 5 hours. Find the speed of the plane in still air and the speed of the wind.\r<BR>\n" );
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document.write( "speed of the plane in still air _____________ mph\r<BR>\n" );
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document.write( "speed of the wind ___________________ mph \r<BR>\n" );
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document.write( "Using distance = rate x time<BR>\n" );
document.write( "Set x = speed of plane with no wind<BR>\n" );
document.write( "    w = wind speed<BR>\n" );
document.write( "We can say<BR>\n" );
document.write( "    (x+w)*3 = 900<BR>\n" );
document.write( "and<BR>\n" );
document.write( "    (x-w)*5 = 900\r<BR>\n" );
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document.write( "Rewriting the equations we have<BR>\n" );
document.write( "    3(x+w) = 900<BR>\n" );
document.write( "    5(x-w) = 900\r<BR>\n" );
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document.write( "Distribute the left had sides<BR>\n" );
document.write( "    3x + 3w = 900<BR>\n" );
document.write( "    5x - 5w = 900<BR>\n" );
document.write( "Multiply the top equation by 5<BR>\n" );
document.write( "Multiply the bottom equation by 3<BR>\n" );
document.write( "    15x + 15w = 4500<BR>\n" );
document.write( "    15x - 15w = 2700<BR>\n" );
document.write( "Add the two equations together<BR>\n" );
document.write( "    30x       = 7200<BR>\n" );
document.write( "Divide each side by 30<BR>\n" );
document.write( "      x       = 250<BR>\n" );
document.write( "Substitute 250 into 3x + 3w = 900<BR>\n" );
document.write( "     3(250) + 3w = 900<BR>\n" );
document.write( "     750 + 3w = 900<BR>\n" );
document.write( "Subtract 750 from each side.<BR>\n" );
document.write( "     3w = 150<BR>\n" );
document.write( "      w = 50<BR>\n" );
document.write( "So the airplane will travel at 250 mph with no wind.<BR>\n" );
document.write( "The wind speed is 50 mph.\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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