document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541155>Question 541155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two motorcyclists leave Lansing at the same time, traveling in opposite directions. The cyclist going east is traveling 10 miles per hour faster than the cyclist going west. If the two motorcycles are 275 miles apart after 2.5 hours, find each of their speeds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354081 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=354081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two motorcyclists leave Lansing at the same time, traveling in opposite directions. The cyclist going east is traveling 10 miles per hour faster than the cyclist going west. If the two motorcycles are 275 miles apart after 2.5 hours, find each of their speeds.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=speed (mph) of cyclist going west<BR>\n" );
document.write( "x+10=speed (mph) of cyclist going east<BR>\n" );
document.write( "distance=speed*travel time<BR>\n" );
document.write( "2.5x+2.5(x+10)=275<BR>\n" );
document.write( "2.5x+2.5x+25<BR>\n" );
document.write( "5x=275-25=250<BR>\n" );
document.write( "x=50<BR>\n" );
document.write( "x+10=60<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "speed (mph) of cyclist going west=50 mph<BR>\n" );
document.write( "speed (mph) of cyclist going east=60 mph </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );