document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620512>Question 620512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An aircraft slew 5 hours with the wind. The return trip took 6 hours against the wind. If the speed of the plane in still air is 190 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #390203 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An aircraft slew 5 hours with the wind.<BR>\n" );
document.write( " The return trip took 6 hours against the wind.<BR>\n" );
document.write( " If the speed of the plane in still air is 190 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air.<BR>\n" );
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document.write( "Let s = speed that the plane \"slew\"<BR>\n" );
document.write( "Let w = speed of the wind<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-w) = effective speed against the wind<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(s+w) = effective speed with the wind<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a distance equation; dist = time * speed. <BR>\n" );
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document.write( "There dist = Return dist<BR>\n" );
document.write( "5(s+w) = 6(s-w)<BR>\n" );
document.write( "5s + 5w = 6s - 6w<BR>\n" );
document.write( "5w + 6w = 6s - 5s<BR>\n" );
document.write( "11w = s<BR>\n" );
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document.write( "It says,\"the speed of the plane in still air is 190 miles per hour more than the speed of the wind, \"<BR>\n" );
document.write( "therefore <BR>\n" );
document.write( "s = (w+190)<BR>\n" );
document.write( "Replace s with 11w<BR>\n" );
document.write( "11w = w + 190<BR>\n" );
document.write( "11w - w = 190<BR>\n" );
document.write( "10w = 190<BR>\n" );
document.write( "w = 19 mph is the rate of the wind<BR>\n" );
document.write( "then<BR>\n" );
document.write( "s = 19 + 190<BR>\n" );
document.write( "s = 209 is the speed of the plane in still air<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check this in the first equation </SPAN>\n" );
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