document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887893>Question 887893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car travels 840 mi. A second car, traveling 2 mph faster than the first car, makes the same trip in 1 h 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 #537059 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=537059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A car travels 840 mi.<BR>\n" );
document.write( " A second car, traveling 2 mph faster than the first car, makes the same trip in 1 h less time.<BR>\n" );
document.write( " Find the speed of each car.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = the 1st car speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+2) = the 2nd car speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "1st car time - 2nd car time = 1 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=840%2Fs ALIGN=MIDDLE  ALT=\"840%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=840%2F%28%28s%2B2%29%29 ALIGN=MIDDLE  ALT=\"840%2F%28%28s%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 2(s+2), cancel the denominators and you have<BR>\n" );
document.write( "840(s+2) - 840s = s(s+2)*1<BR>\n" );
document.write( "840s + 1680 - 840s = s^2 + 2s<BR>\n" );
document.write( "Form a quadratic equation<BR>\n" );
document.write( "s^2 + 2s - 1680 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(s+42)(s-40) = 0<BR>\n" );
document.write( "The positive solution is what we want here<BR>\n" );
document.write( "s = 40 mph is the speed of the 1st car<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you find the speed of the 2nd car, check your solutions in the original time equation </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );