document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498713>Question 498713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An executive flew in a corporate jet to a meeting in a city 1500 kilometers away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go. The air speed of the plane was 600 kilometers per hour. How fast was the wind blowing? (Assume the wind direction was parallel to the flight path and constant all day.)\r<BR>\n" );
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document.write( "How do i solve? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337295 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=337295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An executive flew in a corporate jet to a meeting in a city 1500 kilometers away.<BR>\n" );
document.write( " After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go.<BR>\n" );
document.write( " The air speed of the plane was 600 kilometers per hour.<BR>\n" );
document.write( " How fast was the wind blowing? (Assume the wind direction was parallel to the flight path and constant all day.) <BR>\n" );
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document.write( "from the information given, we know the plane flew 1200 mi against the wind and 1500 mi with the wind in the same time interval.<BR>\n" );
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document.write( "Let w = speed of the window<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(600+w) = effective speed to the city (tail wind)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(600-w) = effective return speed (against the wind)<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500%2F%28600%2Bw%29 ALIGN=MIDDLE  ALT=\"1500%2F%28600%2Bw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F%28600-w%29 ALIGN=MIDDLE  ALT=\"1200%2F%28600-w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "cross multiply<BR>\n" );
document.write( "1200(600+w) = 1500(600-w)<BR>\n" );
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document.write( "simplify, divide by 100<BR>\n" );
document.write( "12(600+w) = 15(600-w)<BR>\n" );
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document.write( "7200 + 12w = 9000 - 15w<BR>\n" );
document.write( "12w + 15w = 9000 - 7200<BR>\n" );
document.write( "27w = 1800<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800%2F27 ALIGN=MIDDLE  ALT=\"1800%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w = 66<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph is the wind<BR>\n" );
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document.write( "Check this using 66.67 as the wind speed<BR>\n" );
document.write( "1500/666.67 ~ 2.25 hrs<BR>\n" );
document.write( "1200/533.33 ~ 2.25 hrs; confirms our solution<BR>\n" );
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