document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885098>Question 885098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane, find the speed of the plane </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534938 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=534938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane, find the speed of the plane<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = speed of plane<BR>\n" );
document.write( "then x-110 = speed of car<BR>\n" );
document.write( ".<BR>\n" );
document.write( "1020 = xt  (applying d=rt for plane -- equation 1)<BR>\n" );
document.write( "360 = (x-110)t  (applying d=rt for car -- equation 2)<BR>\n" );
document.write( "solve equation 1 for t<BR>\n" );
document.write( "t = 1020/x<BR>\n" );
document.write( "substitute into equation 2 to solve for x:<BR>\n" );
document.write( "360 = (x-110)t<BR>\n" );
document.write( "360 = (x-110)(1020/x)<BR>\n" );
document.write( "360x = (x-110)1020<BR>\n" );
document.write( "360x = 1020x-112200<BR>\n" );
document.write( "360x = 1020x-112200<BR>\n" );
document.write( "-660x = -112200<BR>\n" );
document.write( "x = 170 mph (speed of plane)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );