document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=511445>Question 511445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane flying with the wind went 350 miles in 2 hours. The return trip, flying against the wind, took 2.8 hours. Find the rate of the plane in calm air and the rate of the wind.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342219 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=342219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d = rt is the distance equation.<BR>\n" );
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document.write( "a = aircraft speed<BR>\n" );
document.write( "w = wind speed<BR>\n" );
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document.write( "Flying with the wind, the ground speed = a+w<BR>\n" );
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document.write( "(a+w) * 2 = 350<BR>\n" );
document.write( "a + w = 175<BR>\n" );
document.write( "a = 175-w<BR>\n" );
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document.write( "Flying against the wind, the ground speed = a-w<BR>\n" );
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document.write( "(a-w) * 2.8 = 350<BR>\n" );
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document.write( "substitute a = (175-w)<BR>\n" );
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document.write( "(175-w -w) * 2.8 = 350<BR>\n" );
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document.write( "175 -2w = 125<BR>\n" );
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document.write( "-2w = -50<BR>\n" );
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document.write( "w = 25 = wind speed<BR>\n" );
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document.write( "substitute<BR>\n" );
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document.write( "a + w = 175<BR>\n" );
document.write( "a + 25 = 175<BR>\n" );
document.write( "a = 150 = aircraft speed<BR>\n" );
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document.write( "Check the answer.<BR>\n" );
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document.write( "(150-25)*x = 350<BR>\n" );
document.write( "125x = 350<BR>\n" );
document.write( "x = 2.8<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Answer:  The aircraft flies 150 mph and the wind is 25 mph.<BR>\n" );
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