document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=837279>Question 837279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this system of equation word problem,\r<BR>\n" );
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document.write( "An airplane travels 900 miles from Housten to Miami in 6 hours against the wind. On it's return trip, with the wind, it takes only 5 hours. Find the rate of the airplane with no wind. Find the rate of the wind.\r<BR>\n" );
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document.write( "thanks <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 #504559 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=504559\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the rate of the airplane, y be the rate of the wind<BR>\n" );
document.write( "therefore we have the following two equations<BR>\n" );
document.write( "(x-y)*6 = 900    note that * means multiply and rate*time = distance<BR>\n" );
document.write( "(x+y)*5 = 900<BR>\n" );
document.write( "solve first equation for x and substitute in second equation<BR>\n" );
document.write( "x-y = 150<BR>\n" );
document.write( "x = 150+y<BR>\n" );
document.write( "(150+y+y)*5 = 900<BR>\n" );
document.write( "2y = 180 - 150<BR>\n" );
document.write( "2y = 30<BR>\n" );
document.write( "y = 15<BR>\n" );
document.write( "x-15 = 150<BR>\n" );
document.write( "x = 165<BR>\n" );
document.write( "the speed of the airplane is 165 mph and speed of the wind is 15 mph<BR>\n" );
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