document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908581>Question 908581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The time for the bus trip between two towns is 45 minutes shorter than the time for the train trip between the same two towns. if the towns are 360 km apart and the train speed is 15km/h slower than that of bus, find the speed of the bus in km/h. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551302 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs for the train to<BR>\n" );
document.write( "travel between the towns<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+-+3%2F4+ ALIGN=MIDDLE  ALT=\"+t+-+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs for the bus<BR>\n" );
document.write( "to travel between the towns<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the bus in km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+-+15+ ALIGN=MIDDLE  ALT=\"+s+-+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the train in km/hr<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Equation for bus:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+s%2A%28+t+-+3%2F4+%29+ ALIGN=MIDDLE  ALT=\"+360+=+s%2A%28+t+-+3%2F4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for train:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+%28+s+-+15+%29%2At+ ALIGN=MIDDLE  ALT=\"+360+=+%28+s+-+15+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+s%2At+-+%283%2F4%29%2As+ ALIGN=MIDDLE  ALT=\"+360+=+s%2At+-+%283%2F4%29%2As+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1440+=+4%2As%2At+-+3s+ ALIGN=MIDDLE  ALT=\"+1440+=+4%2As%2At+-+3s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+360%2F%28+s+-+15+%29+ ALIGN=MIDDLE  ALT=\"+t+=+360%2F%28+s+-+15+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1440+=+4%2As%2A%28+360+%2F+%28+s+-+15+%29+%29+-+3s+ ALIGN=MIDDLE  ALT=\"+1440+=+4%2As%2A%28+360+%2F+%28+s+-+15+%29+%29+-+3s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1440%2A%28+s+-+15+%29+=+1440s+-+3s%2A%28+s+-+15+%29+ ALIGN=MIDDLE  ALT=\"+1440%2A%28+s+-+15+%29+=+1440s+-+3s%2A%28+s+-+15+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1440s+-+21600+=+1440s+-+3s%5E2+%2B+45s+ ALIGN=MIDDLE  ALT=\"+1440s+-+21600+=+1440s+-+3s%5E2+%2B+45s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3s%5E2+-+45s+-+21600+=+0+ ALIGN=MIDDLE  ALT=\"+3s%5E2+-+45s+-+21600+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+-+15s+-+7200+=+0+ ALIGN=MIDDLE  ALT=\"+s%5E2+-+15s+-+7200+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use quadratic equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-15+ ALIGN=MIDDLE  ALT=\"+b+=+-15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-7200+ ALIGN=MIDDLE  ALT=\"+c+=+-7200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+-%28-15%29+%2B-+sqrt%28+%28-15%29%5E2+-+4%2A1%2A%28-7200%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+s+=+%28+-%28-15%29+%2B-+sqrt%28+%28-15%29%5E2+-+4%2A1%2A%28-7200%29+%29%29+%2F+%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+15+%2B-+sqrt%28+225+%2B+28800+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+%28+15+%2B-+sqrt%28+225+%2B+28800+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+15+%2B-+sqrt%28+29025+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+%28+15+%2B-+sqrt%28+29025+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+%28+15+%2B+170.367+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+%28+15+%2B+170.367+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+185.367+%2F+2+ ALIGN=MIDDLE  ALT=\"+s+=+185.367+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+92.684+ ALIGN=MIDDLE  ALT=\"+s+=+92.684+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the speed of the bus was 92.68 km/hr<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+%28+s+-+15+%29%2At+ ALIGN=MIDDLE  ALT=\"+360+=+%28+s+-+15+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+%28+92.68+-+15+%29%2At+ ALIGN=MIDDLE  ALT=\"+360+=+%28+92.68+-+15+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+77.68t+ ALIGN=MIDDLE  ALT=\"+360+=+77.68t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+4.63+ ALIGN=MIDDLE  ALT=\"+t+=+4.63+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+%28+s+-+15+%29%2At+ ALIGN=MIDDLE  ALT=\"+360+=+%28+s+-+15+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+%28+92.68+-+15+%29%2A4.63+ ALIGN=MIDDLE  ALT=\"+360+=+%28+92.68+-+15+%29%2A4.63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+77.68%2A4.63+ ALIGN=MIDDLE  ALT=\"+360+=+77.68%2A4.63+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+360+=+359.66+ ALIGN=MIDDLE  ALT=\"+360+=+359.66+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks close enough- error due<BR>\n" );
document.write( "to rounding off\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );