document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818633>Question 818633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travels 200 mi. A second car, traveling 10mph faster than the first car, makes the same trip in one hour less time.  Find the speed of each car. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492678 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=492678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> D = 200<BR>\n" );
document.write( "s = d / t<BR>\n" );
document.write( "d = s * t<BR>\n" );
document.write( "---<BR>\n" );
document.write( "car a:<BR>\n" );
document.write( "T = time for car a<BR>\n" );
document.write( "200 = sT<BR>\n" );
document.write( "---<BR>\n" );
document.write( "car b:<BR>\n" );
document.write( "200 = (s + 10)(T - 1)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sT = (s + 10)(T - 1)<BR>\n" );
document.write( "sT = sT - s + 10T - 10<BR>\n" );
document.write( "s = 10T - 10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "200 = sT<BR>\n" );
document.write( "200 = (10T - 10)T<BR>\n" );
document.write( "10TT - 10T - 200 = 0<BR>\n" );
document.write( "10T^2 - 10T - 200 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=10, b=-10, and c=-200<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, plug this:<BR>\n" );
document.write( "10 -10 -200<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the two real roots (i.e. the two solutions), of the quadratic are:<BR>\n" );
document.write( "T = 5<BR>\n" );
document.write( "T = -4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the negative root doesn't make sense for time, so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "T = 5<BR>\n" );
document.write( "s = 10T - 10<BR>\n" );
document.write( "s = 10(5) - 10<BR>\n" );
document.write( "s = 40<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "speed of car a: 40 mph<BR>\n" );
document.write( "speed of car b: 50 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( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );