document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975882>Question 975882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a traine cover 288 km at constant speed.If its speed was 8kmps more it would have taken 24 minutes less to travel the distance.Find the speed of the train.(in km)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597634 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=597634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a train covers 288 km at a constant speed. <BR>\n" );
document.write( "If its speed was 8 kmps more it would have taken 24 minutes less to travel the distance.<BR>\n" );
document.write( "Find the speed of the train.(in km/hr)?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = the speed of the train<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+8 ) = the faster speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Change 24 min to hrs: 24/60 = .4 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Actual speed time - faster speed time = .4 hrs\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=288%2Fs ALIGN=MIDDLE  ALT=\"288%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=288%2F%28s%2B8%29 ALIGN=MIDDLE  ALT=\"288%2F%28s%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .4<BR>\n" );
document.write( "multiply equation by s(s+8), cancel the denominators:<BR>\n" );
document.write( "288(s+8) - 288s = .4s(s+8)<BR>\n" );
document.write( "288s + 2304 - 288s = .4s^2 + 3.2s<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "0 = .4s^2 + 3.2s - 2304<BR>\n" );
document.write( "Use the quadratic formula to find s, a=.4; b= 3.2; c=-2304<BR>\n" );
document.write( "I got a positive solution of<BR>\n" );
document.write( "s = 72.0 km/hr<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this by finding the actual time at each speed.<BR>\n" );
document.write( "288/72 = 4.0 hrs<BR>\n" );
document.write( "288/80 = 3.6 hrs (8 km/hr faster)<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "time difference: .4 hrs which is 24 min<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );