document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268621>Question 268621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An air rescue plane averages 300 miles per hour in still air.  It carries enough fuel for 5 hours of flying time.  If, upon takeoff it encounters a head wind of 30 mi/hr and the wind remains constant, how far can the plane fly and then return safely?\r<BR>\n" );
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document.write( "Is the rate simply 300-30?  How do I find the distance traveled? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196911 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=196911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An air rescue plane averages 300 miles per hour in still air.<BR>\n" );
document.write( " It carries enough fuel for 5 hours of flying time.<BR>\n" );
document.write( " If, upon takeoff it encounters a head wind of 30 mi/hr and the wind remains constant, how far can the plane fly and then return safely? <BR>\n" );
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document.write( "Effective ground speed<BR>\n" );
document.write( "300 - 30 = 270 mph against the wind<BR>\n" );
document.write( "300 + 30 = 330 mph with the wind<BR>\n" );
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document.write( "Let d = the one-way distance; write a time equation, time = dist/speed<BR>\n" );
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document.write( "outbound time + return time = 5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2F270%29 ALIGN=MIDDLE  ALT=\"%28d%2F270%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28d%2F330%29 ALIGN=MIDDLE  ALT=\"%28d%2F330%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "Multiply by 81900 (270*330), eliminate the denominators, results:<BR>\n" );
document.write( "330d + 270d = 5(81900)<BR>\n" );
document.write( "600d = 445500<BR>\n" );
document.write( "6d = 4455<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4455%2F6 ALIGN=MIDDLE  ALT=\"4455%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 742.5 mi, the plane can fly out and return safely<BR>\n" );
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document.write( "Check this by finding the total time<BR>\n" );
document.write( "742.5/270 + 742.5/330 = <BR>\n" );
document.write( "2.75 + 2.25 = 5<BR>\n" );
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