document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701475>Question 701475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I need help with a question.  I have tried but I couldn't get it.<BR>\n" );
document.write( "\"A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 hours. Find the average airspeed of the plane and the average windspeed\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432435 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=432435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 hours. Find the average airspeed of the plane and the average windspeed<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Base to an airport DATA:<BR>\n" );
document.write( "dist = 255 miles ; time = 1.7 hrs ; rate = d/t = 255/1.7 mph<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Airport to base DATA:<BR>\n" );
document.write( "dist = 255 miles ; time = 1.5 hrs ; rate = d/t = 255/1.5 mph<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Let p = plane speed and w = wind speed<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "p + w = 255/1.5 mph<BR>\n" );
document.write( "p - w = 255/1.7 mph<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Add and solve for \"p\":<BR>\n" );
document.write( "2p = [255/1.5 + 255/1.7]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "p = (127.5/1.5 + 127/1.7]<BR>\n" );
document.write( "p = 160 (plane's speed in still air)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"w\":<BR>\n" );
document.write( "p - w = 255/1.7<BR>\n" );
document.write( "160 - w = 255/1.7<BR>\n" );
document.write( "w = 160-(255/1.7)<BR>\n" );
document.write( "w = 10 mph (speed of the wind)<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );