document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388273>Question 388273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.mr. ong makes regular business trips to kaulalumpur a distance of 420 km from singapore (a)on his way up to kaulalumpur he travels along the trunk road at an average speed of x km/h. write down the expression in trm of x for the time taken in hours to travel from singapore to kaulalumpur<BR>\n" );
document.write( "(b)on his return journey to singapore he travels along the north south highway and increases the average speed by 15 km/h.write down the expression in term of x for the time taken in the hours to travel from kaulalumpur to singapore.<BR>\n" );
document.write( "(c)if the time difference between the two journey is 40 min from an equation in x and show that it reduces x^2+15x-9540=0<BR>\n" );
document.write( "(d)solve the equation and find the time taken for the trip from singapore to kaulalampur </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274691 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2.mr. ong makes regular business trips to kaulalumpur a distance of 420 km from singapore (a)on his way up to kaulalumpur he travels along the trunk road at an average speed of x km/h. write down the expression in trm of x for the time taken in hours to travel from singapore to kaulalumpur<BR>\n" );
document.write( "(b)on his return journey to singapore he travels along the north south highway and increases the average speed by 15 km/h.write down the expression in term of x for the time taken in the hours to travel from kaulalumpur to singapore.<BR>\n" );
document.write( "(c)if the time difference between the two journey is 40 min from an equation in x and show that it reduces x^2+15x-9540=0<BR>\n" );
document.write( "(d)solve the equation and find the time taken for the trip from singapore to kaulalampur<BR>\n" );
document.write( "...<BR>\n" );
document.write( "FORWARD<BR>\n" );
document.write( "speed x km/h<BR>\n" );
document.write( "distance = 420 km\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "t=d/r<BR>\n" );
document.write( "t= 420/x hours<BR>\n" );
document.write( "...<BR>\n" );
document.write( "RETURN <BR>\n" );
document.write( "-------<BR>\n" );
document.write( "speed = x+15 km/h<BR>\n" );
document.write( "distance = 420 km<BR>\n" );
document.write( "..<BR>\n" );
document.write( "time = 420/(x+15) hours.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "40 minutes = 40/60 = 2/3<BR>\n" );
document.write( "time going - time returning = 2/3 hours<BR>\n" );
document.write( "(420/x)-420/(x+15)=3/4<BR>\n" );
document.write( "...<BR>\n" );
document.write( "LCD = x(x+15)<BR>\n" );
document.write( "multiply equation by x(x+15)<BR>\n" );
document.write( "420(x+15)-420x=2/3* x(x+15)<BR>\n" );
document.write( "420x+6300-420x=2/3*x(x+15)<BR>\n" );
document.write( "6300=2/3*x(x+15)<BR>\n" );
document.write( "multiply by3<BR>\n" );
document.write( "18900=2x^2+30x<BR>\n" );
document.write( "2x^2+30x-18,900=0<BR>\n" );
document.write( "/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28x%5E2%2B15x-9450=0%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x%5E2%2B15x-9450=0%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x^2+15x-9450=0<BR>\n" );
document.write( "x^2+105x-90x-9450=0<BR>\n" );
document.write( "x(x+105)-90(x+105)=0<BR>\n" );
document.write( "(x+105)(x-90)=0<BR>\n" );
document.write( "x= 90 km/h <BR>\n" );
document.write( "...<BR>\n" );
document.write( "distance = 420 km<BR>\n" );
document.write( "speed = 90 km/h<BR>\n" );
document.write( "time = 420/90<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28t=4.66%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28t=4.66%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours Time to Kaula lumpur<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );