document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926561>Question 926561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travels for 100 miles at a uniform speed. If the speed is increased by 5 miles per hour, the trip would take one hour less time. What is the cars original speed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562327 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=562327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = original speed<BR>\n" );
document.write( "t = trip time at speed x<BR>\n" );
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document.write( "s = d/t<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 100/t<BR>\n" );
document.write( "t = 100/x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + 5 = 100/(t - 1)<BR>\n" );
document.write( "(x + 5)(t - 1) = 100<BR>\n" );
document.write( "(x + 5)(100/x - 1) = 100<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(x + 5)(100/x - 1) = 100<BR>\n" );
document.write( "100 - x + 500/x - 5 = 100<BR>\n" );
document.write( "-x + 500/x - 5 = 0<BR>\n" );
document.write( "(-x + 500/x - 5 = 0)x<BR>\n" );
document.write( "-xx + 500 - 5x = 0<BR>\n" );
document.write( "-xx - 5x + 500 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=-1, b=-5 and c=500<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( "-1 -5 500<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" );
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document.write( "x = -25<BR>\n" );
document.write( "x = 20<BR>\n" );
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document.write( "the negative root doesn't fit the problem statement, so use the positive root:<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "x = 20 mph<BR>\n" );
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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" );