document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=875145>Question 875145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the first 4 km of a 10km journey, Jerry and Jerome travelled together at an average speed of x km/h. For the next 6 km, Jerry increased his average speed by 2 km/h while Jerome decreased his average speed by 1 km/h. <BR>\n" );
document.write( "If the difference in the total time taken to complete the entire journey by Jerry and Jerome is 1.5 hours, find the value of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527991 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=527991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the first 4 km of a 10km journey, Jerry and Jerome travelled together at an average speed of x km/h. For the next 6 km, Jerry increased his average speed by 2 km/h while Jerome decreased his average speed by 1 km/h. <BR>\n" );
document.write( "If the difference in the total time taken to complete the entire journey by Jerry and Jerome is 1.5 hours, find the value of x.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28x-1%29-6%2F%28x%2B2%29=1.5 ALIGN=MIDDLE  ALT=\"6%2F%28x-1%29-6%2F%28x%2B2%29=1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-6x+6+6x+12=1.5(x-1)(x+2)=1.5(x^2+x-2)<BR>\n" );
document.write( "1.5(x^2+x-2)=18<BR>\n" );
document.write( "1.5x^2+1.5x-3=18<BR>\n" );
document.write( "1.5x^2+1.5x-21=0<BR>\n" );
document.write( "x^2+x-14=0<BR>\n" );
document.write( "solve for x by quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%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( "a=1, b=1, c=-14 <BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "x&#8776;-4.27(reject)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x&#8776;3.27 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );