document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=758088>Question 758088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cruising speed of an airlines is 150 miles per hour (relative to the ground). you wish to hire the plane for 3 hour sightseeing trip. You instruct the pilot to fly north as far as he can and still return to the airport at the end of the allotted time. how far north should the pilot fly if the wind is blowing far from the north at 30 miles per hour. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #461265 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=461265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cruising speed of an airlines is 150 miles per hour (relative to<BR>\n" );
document.write( " the ground).<BR>\n" );
document.write( " you wish to hire the plane for 3 hour sightseeing trip.<BR>\n" );
document.write( " You instruct the pilot to fly north as far as he can and still return<BR>\n" );
document.write( " to the airport at the end of the allotted time.<BR>\n" );
document.write( " how far north should the pilot fly if the wind is blowing from<BR>\n" );
document.write( " the north at 30 miles per hour.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = one way distance to point of return<BR>\n" );
document.write( "we know<BR>\n" );
document.write( "150 - 30 = 120 mph, ground speed going north<BR>\n" );
document.write( "and<BR>\n" );
document.write( "150 + 30 = 180 mph, ground speed going south<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "time north + time back = 3 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F120 ALIGN=MIDDLE  ALT=\"d%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F180 ALIGN=MIDDLE  ALT=\"d%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "multiply by 360 to cancel the denominators, results:<BR>\n" );
document.write( "3d + 3d = 360(3)<BR>\n" );
document.write( "5d = 1080<BR>\n" );
document.write( "d = 1080/5<BR>\n" );
document.write( "d = 216 miles to return point<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this by finding the actual times:<BR>\n" );
document.write( "216/120 = 1.8 hrs<BR>\n" );
document.write( "216/180 = 1.2 hrs<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "total time: 3 hrs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );