document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=334674>Question 334674</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 flights 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 plane in still air is 430 mph, how far from City A is the point of no return? I need to translate the problem into a pair of linear equations in two variables.<BR>\n" );
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document.write( "Ok, I have a line:<BR>\n" );
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document.write( "                                          3020 miles<BR>\n" );
document.write( "City A -------------------------------------------- City B<BR>\n" );
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document.write( "I know d = rt<BR>\n" );
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document.write( "and the distance is 3020 miles.<BR>\n" );
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document.write( "So it is rt = 3020, but with the 60 mph tailwind and 430 mph and all that I am just confused. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #239824 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=239824\">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. The flights 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 plane in still air is 430 mph, how far from City A is the point of no return? I need to translate the problem into a pair of linear equations in two variables.\r<BR>\n" );
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document.write( "Ok, I have a line:\r<BR>\n" );
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document.write( "3020 miles<BR>\n" );
document.write( "City A -------------------------------------------- City B\r<BR>\n" );
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document.write( "I know d = rt<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Note: The rates change from \"to\" to \"from\":<BR>\n" );
document.write( "Let \"x\" miles from A be the point of no return,<BR>\n" );
document.write( "then 3020-x is the remaining distance to B and <BR>\n" );
document.write( "\"x\" is the distance back to A:<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time to complete the flight to B with wind  = time to return to A against wind<BR>\n" );
document.write( "(3020-x)/490 = x/370<BR>\n" );
document.write( "370(3020-x) = 490x<BR>\n" );
document.write( "370*3020-370x = 490x <BR>\n" );
document.write( "370*3020 = 860x<BR>\n" );
document.write( "x = 1299.3 miles from A<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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