document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=258026>Question 258026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person travel 1600 miles by commercial jet, then an additional 500 miles by private plane.  If the speed of the jet is 4 times the speed of the private plane, and total time in the air was 6 hours, determine the speed of each plane.\r<BR>\n" );
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document.write( "I have tried the problem as: 4x/1600 + x/500 = 6, and also 1600/4x = 500/x - 6 , and a few other variations on this, but can't seem to come up with the correct answer, which the book has as 150 mph, and 600 mph.  I'm think I'm close, but can't figure out what I'm doing wrong.  Thanks for your help.  Michelle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189878 by </B><A HREF=/tutors/aboutme.mpl?userid=Greenfinch><B>Greenfinch(383)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Greenfinch><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=Greenfinch><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=189878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Private plane is travelling at v mph<BR>\n" );
document.write( "Jet is travelling at 4v mph<BR>\n" );
document.write( "Time on jet is 1600/4v and time on private plane is 500/v<BR>\n" );
document.write( "Total time is 6 = 1600/4v + 500/v<BR>\n" );
document.write( "Multiply by 4v throughout and get<BR>\n" );
document.write( "24v = 1600 + 2000 so<BR>\n" );
document.write( "24v = 3600<BR>\n" );
document.write( "v = 150<BR>\n" );
document.write( "So Private plane travels at 150 mph and jet at 600<BR>\n" );
document.write( "1600/600 = 2 2/3 hours<BR>\n" );
document.write( "500/150 = 3 1/3 hours<BR>\n" );
document.write( "Total = 6 hours<BR>\n" );
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