document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200086>Question 200086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A search plan has a cruising speed of 250 mph and carries enough fuel for at most 5 hrs of flying.  If there is a wind that averages 30 mph and the direction of search is with the wind one way and against it the other, how far can the plane travel before it has to turn back? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150421 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=150421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A search plane has a cruising speed of 250 mph and carries enough fuel for at<BR>\n" );
document.write( " most 5 hrs of flying. <BR>\n" );
document.write( "If there is a wind that averages 30 mph and the direction of search is with the<BR>\n" );
document.write( " wind one way and against it the other, how far can the plane travel before it<BR>\n" );
document.write( " has to turn back?<BR>\n" );
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document.write( "Let d = one way distance<BR>\n" );
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document.write( "250+30 = 280; speed with the wind<BR>\n" );
document.write( "250=30 = 220; speed against the wind<BR>\n" );
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document.write( "Write a time equation: Time = dist/speed<BR>\n" );
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document.write( "out time + return time = 5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F280 ALIGN=MIDDLE  ALT=\"d%2F280\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F220 ALIGN=MIDDLE  ALT=\"d%2F220\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "Multiply equation by 3080 (LCD) to let rid of the denominators<BR>\n" );
document.write( "11d + 14d = 5(3080)<BR>\n" );
document.write( "25d = 15400<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15400%2F25 ALIGN=MIDDLE  ALT=\"15400%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 616 miles then it has to turn back<BR>\n" );
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document.write( "Check solution in original equation, find the times<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=616%2F280 ALIGN=MIDDLE  ALT=\"616%2F280\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=616%2F220 ALIGN=MIDDLE  ALT=\"616%2F220\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "2.2 + 2.8 = 5 hrs <BR>\n" );
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