document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829373>Question 829373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> James took 1h more than John to drive a 432-mi trip at an average speed of 6mi/h less than John. How fast did they each drive?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499811 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=499811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = James' speed<BR>\n" );
document.write( "y = John's speed<BR>\n" );
document.write( "t = John's time<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "d = s*t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "James' distance:<BR>\n" );
document.write( "432 = (y - 6)(t + 1)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "John's speed:<BR>\n" );
document.write( "y = 432/t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "John's distance:<BR>\n" );
document.write( "432 = yt<BR>\n" );
document.write( "---<BR>\n" );
document.write( "432 = 432<BR>\n" );
document.write( "(y - 6)(t + 1) = yt<BR>\n" );
document.write( "yt + y - 6t - 6 = yt<BR>\n" );
document.write( "y = 6t + 6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = 432/t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "432/t = 6t + 6<BR>\n" );
document.write( "6tt + 6t - 432 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=6, b=6, and c=-432<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "6 6 -432<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "t = 8<BR>\n" );
document.write( "t = -9<BR>\n" );
document.write( "---<BR>\n" );
document.write( "negative time doesn't fit the problem statement, so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "John's time = 8 hours<BR>\n" );
document.write( "James' time = 9 hours<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "John's speed = 432/8 = 54 mph<BR>\n" );
document.write( "James' speed = 432/9 = 48 mph<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );