document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927846>Question 927846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The speed of an ordinary train is x km/hr and that of an express train is x+25 km/hr. (i) Find the time taken for each train to cover 300 km. (ii) If the ordinary tran takes 2 hrs more than the express train; calculate the speed of the express train. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563334 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=563334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> s = d/t<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "---<BR>\n" );
document.write( "time for ordinary train:<BR>\n" );
document.write( "a = 300/x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "time for express train:<BR>\n" );
document.write( "b = 300/(x+25)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a = b + 2<BR>\n" );
document.write( "300/x = 300/(x+25) + 2<BR>\n" );
document.write( "300/x - 300/(x+25) = 2<BR>\n" );
document.write( "(x+25)300/x(x+25) - 300x/x(x+25) = 2<BR>\n" );
document.write( "(x+25)300 - 300x = 2x(x+25)<BR>\n" );
document.write( "300x + 25*300 - 300x = 2xx + 50x<BR>\n" );
document.write( "2xx + 50x - 7500 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=2, b=50 and c=-7500<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( "2 50 -7500<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 = 50<BR>\n" );
document.write( "x = -75<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( "x = 50<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "speed of the express train = 50 + 25 = 75 kph<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" );