document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=585408>Question 585408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pilot can travel 560 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 230 miles per hour. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373337 by </B><A HREF=/tutors/aboutme.mpl?userid=Schaman_Dempster><B>Schaman_Dempster(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Schaman_Dempster><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=Schaman_Dempster><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the speed of the wind be w miles per hour.<BR>\n" );
document.write( "Let t be the time taken by pilot to travel 560 miles with the wind and also to travel 360 miles against the wind.\r<BR>\n" );
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document.write( "Case:  When traveling with the wind, \r<BR>\n" );
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document.write( "total speed of pilot = speed of pilot in still air + speed of wind<BR>\n" );
document.write( "Vt =  230 + w\r<BR>\n" );
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document.write( "Distance traveled = total speed * time taken<BR>\n" );
document.write( "560 = (230 + w)* t<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t=+560%2F%28230%2Bw%29+ ALIGN=MIDDLE  ALT=\"+t=+560%2F%28230%2Bw%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ------------ (1)\r<BR>\n" );
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document.write( "Case: When traveling against the wind,\r<BR>\n" );
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document.write( "total speed of pilot = speed of pilot in still air - speed of wind<BR>\n" );
document.write( "Vt = 230 - w\r<BR>\n" );
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document.write( "Distance traveled = total speed * time taken<BR>\n" );
document.write( "360 = (230 - w)* t<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t=+360%2F%28230+-+w%29+ ALIGN=MIDDLE  ALT=\"+t=+360%2F%28230+-+w%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -------------  (2)\r<BR>\n" );
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document.write( "Using equation (1) and (2),\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+560%2F%28230+%2B+w%29+=+360%2F%28230+-+w%29+ ALIGN=MIDDLE  ALT=\"+560%2F%28230+%2B+w%29+=+360%2F%28230+-+w%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14%2F%28230+%2B+w%29+=+9%2F%28230+-+w%29+ ALIGN=MIDDLE  ALT=\"+14%2F%28230+%2B+w%29+=+9%2F%28230+-+w%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >    { Dividing both the sides by 40 }<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14%2A%28230+-+w%29+=+9%2A+%28230+%2B+w%29+ ALIGN=MIDDLE  ALT=\"+14%2A%28230+-+w%29+=+9%2A+%28230+%2B+w%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   { Cross-multiplication}<BR>\n" );
document.write( "     3220 - 14w =  2070 + 9w<BR>\n" );
document.write( "     3220 - 2070  = 14w + 9w<BR>\n" );
document.write( "     1150 = 23w<BR>\n" );
document.write( "      w = 1150/23<BR>\n" );
document.write( "      w = 50 \r<BR>\n" );
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document.write( "Hence, the speed of the wind is 50 miles per hour.\r<BR>\n" );
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document.write( "Hope this helps~!<BR>\n" );
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