document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924063>Question 924063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travels 25km an hour faster than a bus for a journey of 500km.  if the bus takes 10 hours more than the car, the speed of the car and the bus is<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560611 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=560611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = speed of car<BR>\n" );
document.write( "y = speed of bus<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = y + 25<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( "time of car:<BR>\n" );
document.write( "a = 500/x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "time of bus:<BR>\n" );
document.write( "b = 500/x + 10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "speed of the car:<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "x = y + 25<BR>\n" );
document.write( "d/a = d/b + 25<BR>\n" );
document.write( "500/a = 500/b + 25<BR>\n" );
document.write( "500/(500/x) = 500/(500/x + 10) + 25<BR>\n" );
document.write( "x = 500/(500/x + 10) + 25<BR>\n" );
document.write( "x - 25 = 500/(500/x + 10)<BR>\n" );
document.write( "(x - 25)(500/x + 10) = 500<BR>\n" );
document.write( "500  + 10x - 12500/x - 250 = 500<BR>\n" );
document.write( "10x - 12500/x = 250<BR>\n" );
document.write( "10xx - 12500 = 250x<BR>\n" );
document.write( "10xx - 250x - 12500 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=10, b=-250, and c=-12500<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "10 -250 -12500<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the quadratic has two real roots at:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 50<BR>\n" );
document.write( "x = -25<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( "x = speed of car = 50 kph<BR>\n" );
document.write( "y = speed of bus = 25 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\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );