document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260649>Question 260649</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 plane in still air is 430 mph, how far from City A is the point of no return? Round your answer to the nearest mile. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192102 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=192102\">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 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 plane in still air is 430 mph, how far from City A is the point of no return? Round your answer to the nearest mile.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = distance from city A<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(3020-x) = distance from city B<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Continue time = return time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283020-x%29%29%2F%28%28430%2B60%29%29 ALIGN=MIDDLE  ALT=\"%28%283020-x%29%29%2F%28%28430%2B60%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28%28430-60%29%29 ALIGN=MIDDLE  ALT=\"x%2F%28%28430-60%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283020-x%29%29%2F490 ALIGN=MIDDLE  ALT=\"%28%283020-x%29%29%2F490\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F370 ALIGN=MIDDLE  ALT=\"x%2F370\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "490x = 370(3020-x)<BR>\n" );
document.write( "490x = 1117400 - 370x<BR>\n" );
document.write( "490x + 370x = 1117400<BR>\n" );
document.write( "860x = 1117400<BR>\n" );
document.write( "x = <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( "x = 1299 mi from A is the point of no return<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the times<BR>\n" );
document.write( "1299/370 = 3.5 hrs to return to A<BR>\n" );
document.write( "(3020-1299)/490 = 3.5 hrs to continue to B\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );