document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932559>Question 932559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Larry's time to travel 312 miles is 3 hours more than Terrell's time to travel 162 miles. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566315 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=566315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = larry speed<BR>\n" );
document.write( "y = terrell speed<BR>\n" );
document.write( "t = terrell time<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "---<BR>\n" );
document.write( "larry time:<BR>\n" );
document.write( "t + 3 = 312/x<BR>\n" );
document.write( "t = 312/x - 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "terrell time:<BR>\n" );
document.write( "t = 162/y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = x + 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "equate times:<BR>\n" );
document.write( "312/x - 3 = 162/y<BR>\n" );
document.write( "312/x - 3 = 162/(x + 2)<BR>\n" );
document.write( "312/x - 162/(x + 2) = 3<BR>\n" );
document.write( "312(x + 2)/x(x + 2) - 162x/x(x + 2) = 3<BR>\n" );
document.write( "312(x + 2) - 162x = 3x(x + 2)<BR>\n" );
document.write( "312x + 312*2 - 162x = 3xx + 6x<BR>\n" );
document.write( "150x + 624 = 3xx + 6x<BR>\n" );
document.write( "3xx - 144x - 624 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=3, b=-144 and c=-624<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( "3 -144 -624<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( "x = 52<BR>\n" );
document.write( "x = -4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the negative root doesn't fit the problem statement, so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = larry speed = 52 mph<BR>\n" );
document.write( "y = terrell speed = 54 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" );