document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279305>Question 279305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane flying the 3020-mile trip from City A to City B  has a 60-mph tailwind.  The flight's point of no return is the point at which the flight time required to return to City A is the same as the time required to continue to City B.  If the speed of the plan in still air is 430 mph, how far from City A is the point of no return?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203162 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=203162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane flying the 3020-mile trip from City A to City B has a 60-mph tailwind.<BR>\n" );
document.write( " The flight's point of no return is the point at which the flight time required <BR>\n" );
document.write( "to return to City A is the same as the time required to continue to City B.<BR>\n" );
document.write( " If the speed of the plan in still air is 430 mph, how far from City A is the<BR>\n" );
document.write( " point of no return?<BR>\n" );
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document.write( "Determine the speeds<BR>\n" );
document.write( "430+60 = 490 mph toward city B (with the wind)<BR>\n" );
document.write( "430-60 = 370 mph back to city A (against the wind)<BR>\n" );
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document.write( "Let d = distance from City A to the point of no return<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(3020-d) = distance from city B to this point<BR>\n" );
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document.write( "At this point the travel time to each city will be the same<BR>\n" );
document.write( "Write a time equation; Time = dist/speed<BR>\n" );
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document.write( "Time to return against the wind = time to continue with the wind<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F370 ALIGN=MIDDLE  ALT=\"d%2F370\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283020-d%29%29%2F490 ALIGN=MIDDLE  ALT=\"%28%283020-d%29%29%2F490\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "490d = 370(3020-d)<BR>\n" );
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document.write( "490d = 1117400 - 370d<BR>\n" );
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document.write( "490d + 370d = 1117400<BR>\n" );
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document.write( "860d = 1117400<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1117400%2F860 ALIGN=MIDDLE  ALT=\"1117400%2F860\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 1299.3 miles from A<BR>\n" );
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document.write( "You can prove this: 3020 - 1299.3 = 1720.7 to city B<BR>\n" );
document.write( "Time back to A: 1299.3/370 = 3.511 hrs<BR>\n" );
document.write( "Time on to B: 1720.7/490 = 3.511 hrs also<BR>\n" );
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document.write( "Did this make sense to you?<BR>\n" );
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