document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805050>Question 805050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car and motor cycle set of from the same point to travel the same journey.<BR>\n" );
document.write( "the car leaves eight minutes before the motor cycle. if the car travels at 50km/h and the motor cycle at 70km/h how many kilometres from the starting point will they draw level. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485050 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=485050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A car and motor cycle set of from the same point to travel the same journey.<BR>\n" );
document.write( "the car leaves eight minutes before the motor cycle. if the car travels at 50km/h and the motor cycle at 70km/h how many kilometres from the starting point will they draw level.\r<BR>\n" );
document.write( "\n" );
document.write( "Note the distance traveled by both is same when they meet\r<BR>\n" );
document.write( "\n" );
document.write( "Let them meet at distance x km\r<BR>\n" );
document.write( "\n" );
document.write( "car speed = 50 km/h<BR>\n" );
document.write( "time for car to travel x miles is x/50\r<BR>\n" );
document.write( "\n" );
document.write( "motor cycle time = x/70\r<BR>\n" );
document.write( "\n" );
document.write( "motorcycle takes 8 minutes less to travel same distance<BR>\n" );
document.write( "8 minutes = 8/60 = 2/15 hours\r<BR>\n" );
document.write( "\n" );
document.write( "time taken by car - time taken by motor cycle = 2/15 hours\r<BR>\n" );
document.write( "\n" );
document.write( "x/50 - x/75 = 2/15\r<BR>\n" );
document.write( "\n" );
document.write( "LCD =150<BR>\n" );
document.write( "(3x-2x)/150 =2/15<BR>\n" );
document.write( "x/150 =2/15\r<BR>\n" );
document.write( "\n" );
document.write( "cross multiply<BR>\n" );
document.write( "15x=2*150<BR>\n" );
document.write( "15x=300<BR>\n" );
document.write( "/15<BR>\n" );
document.write( "x=20\r<BR>\n" );
document.write( "\n" );
document.write( "they will draw level at 20 km\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );