document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162431>Question 1162431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mattie Evans drove 250 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles. The speed of the plane was 190 mph faster than the speed of the car. Find the speed of the plane. <BR>\n" );
document.write( "The speed of the plane was _ mph.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786228 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = distance.<BR>\n" );
document.write( "let x equal the rate that mattie travels at.<BR>\n" );
document.write( "let y equal the rate that the plane travels at.<BR>\n" );
document.write( "let z = the time<BR>\n" );
document.write( "for the car, the formula becomes x * z = 250<BR>\n" );
document.write( "for the plane, the formula becomes y * z = 1200<BR>\n" );
document.write( "you are given that the rate of the plane is 190 miles per hour faster than the rate of the car.<BR>\n" );
document.write( "this means y = x + 190<BR>\n" );
document.write( "the formulas become:<BR>\n" );
document.write( "x * z = 250<BR>\n" );
document.write( "(x + 190) * z = 120<BR>\n" );
document.write( "simplify the second equation and leave the first equation as is to get:<BR>\n" );
document.write( "x * z = 250<BR>\n" );
document.write( "x * z + 190 * z = 1200<BR>\n" );
document.write( "subtract the first equation from the second to get:<BR>\n" );
document.write( "190 * z = 950<BR>\n" );
document.write( "solve for z to get:<BR>\n" );
document.write( "z = 5<BR>\n" );
document.write( "that's the time the the car and the plane took.<BR>\n" );
document.write( "for the car, x * z = 250 becomes x * 5 = 250.<BR>\n" );
document.write( "solve for x to get x = 50 miles per hour.<BR>\n" );
document.write( "y = x + 190 makes y = 240 miles per hour.<BR>\n" );
document.write( "for the car, the formula becomes:<BR>\n" );
document.write( "5 * 50 = 250 miles<BR>\n" );
document.write( "for the plane, the formula becomes:<BR>\n" );
document.write( "5 * 240 = 1200 miles<BR>\n" );
document.write( "solution looks good.<BR>\n" );
document.write( "solution is that the speed of the plane is 240 miles per hour. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );