document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930971>Question 930971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A private plane takes 8 hours less to travel 960 km than a car.  If the plane travels 3 times as fast as the car, what is the speed of the plane and the car? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565366 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = speed of plane<BR>\n" );
document.write( "y = speed of car<BR>\n" );
document.write( "x = 3y<BR>\n" );
document.write( "t = time traveled by car<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "speed of plane:<BR>\n" );
document.write( "x = 960/(t - 8)<BR>\n" );
document.write( "3y = 960/(t - 8)<BR>\n" );
document.write( "y = 960/3(t - 8)<BR>\n" );
document.write( "y = 320/(t - 8)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "speed of car:<BR>\n" );
document.write( "y = 960/t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "equate speeds:<BR>\n" );
document.write( "320/(t - 8) = 960/t<BR>\n" );
document.write( "320/(t - 8) - 960/t = 0<BR>\n" );
document.write( "320t/t(t - 8) - 960(t - 8)/t(t - 8) = 0<BR>\n" );
document.write( "320t - 960(t - 8) = 0*t(t - 8)<BR>\n" );
document.write( "320t - 960t + 8*960 = 0<BR>\n" );
document.write( "-640t + 7680 = 0<BR>\n" );
document.write( "t = 7680/640<BR>\n" );
document.write( "t = 12<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 960/(t - 8)<BR>\n" );
document.write( "x = 960/(12 - 8)<BR>\n" );
document.write( "x = 240<BR>\n" );
document.write( "y = 320/(t - 8)<BR>\n" );
document.write( "y = 320/(12 - 8)<BR>\n" );
document.write( "y = 80<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = speed of plane = 240 kph<BR>\n" );
document.write( "y = speed of car = 80 kph<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );