document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42056>Question 42056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tourist bus leaves Townsville and heads North. It travels at an average speed of 50 km/h. It does not stop until it reaches the small little known settlement of Goanna Creek. A second tourist bus leaves Townsville 2 hours later than the first and travels at an average speed of 70 km/h. The second bus arrives at Goanna Creek at the same time as the first bus. How far is Goanna Creek from Townsville? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27186 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the distance between Townsville and Goanna Creek = x km.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For first bus:<BR>\n" );
document.write( "Distance to be traveled = x km.<BR>\n" );
document.write( "Average speed = 50 km/h.<BR>\n" );
document.write( "Therefore, time taken = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DISTANCE%2FSPEED ALIGN=MIDDLE  ALT=\"DISTANCE%2FSPEED\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F50 ALIGN=MIDDLE  ALT=\"x%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For second bus:<BR>\n" );
document.write( "Distance to be traveled = x km.<BR>\n" );
document.write( "Average speed = 70 km/h.<BR>\n" );
document.write( "Therefore, time taken = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DISTANCE%2FSPEED ALIGN=MIDDLE  ALT=\"DISTANCE%2FSPEED\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F70 ALIGN=MIDDLE  ALT=\"x%2F70\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The second bus started 2 hrs. after the departure of the first bus but both reached the destination at the same time.<BR>\n" );
document.write( "So, the second bus takes 2 hr. less time than the first bus to complete the journey.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So we can write,<BR>\n" );
document.write( "(Time taken by second bus in hrs.) = (Time taken by first bus in hrs.) - 2<BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F70+=+x%2F50+-+2 ALIGN=MIDDLE  ALT=\"x%2F70+=+x%2F50+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F50+-+x%2F70+=+2 ALIGN=MIDDLE  ALT=\"x%2F50+-+x%2F70+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2870x-50x%29%2F%2850%2A70%29+=+2 ALIGN=MIDDLE  ALT=\"%2870x-50x%29%2F%2850%2A70%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x%2F%2870%2A50%29+=+2 ALIGN=MIDDLE  ALT=\"20x%2F%2870%2A50%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%287%2A50%29+=+1 ALIGN=MIDDLE  ALT=\"x%2F%287%2A50%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or x = 350\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hence, the reqd. distance is 350 km. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );