document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148457>Question 148457</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A plane flying the 3458 mi. trip from New York City to London has a 50 mph tailwind.  The flight's point of no return is the point at which the flight time required to return to New York is the same as the time required to continue on to London.  If the speed of the plane in still air is 360 mph, how far is New York from the point of no return. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108793 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane flying the 3458 mi. trip from New York City to London has a 50 mph tailwind.<BR>\n" );
document.write( "The flight's point of no return is the point at which the flight time required to return to New York is the same as the time required to continue on to London.<BR>\n" );
document.write( "If the speed of the plane in still air is 360 mph, how far is New York from the point of no return.<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "With the wind data:<BR>\n" );
document.write( "rate = 360+50 = 410mph ; distance = x mi ; time = d/r = x/410<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Again the wind data:<BR>\n" );
document.write( "rate = 360-50 =310 mph ; distance = (3458-x) mi ; time = d/r = (3458-x)/310<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "After going x miles from NY, time to go the remaining miles with the wind<BR>\n" );
document.write( "equals time to return x miles against the wind. <BR>\n" );
document.write( "time with = time against<BR>\n" );
document.write( "x/310 = (3458-x)/410<BR>\n" );
document.write( "410x = 310*3458 - 310x<BR>\n" );
document.write( "720x = 310*3458<BR>\n" );
document.write( "x = 1488.86 miles from NY is the point of no return<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );