document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890789>Question 890789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Train A has a speed 20 miles per hour greater than that of train B. If train A travels 210 miles in the same times train B travels 170 miles, what are the speeds of the two trains? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539257 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance(d) equals Rate(r)times Time(t)or d=rt;r=d/t and t=d/r<BR>\n" );
document.write( "Let r=train B's speed<BR>\n" );
document.write( "Then r+20=train A's speed<BR>\n" );
document.write( "Time required for train A to travel 210 mi=210/(r+20)<BR>\n" );
document.write( "Time required for train B to travel 170 mi=170/r<BR>\n" );
document.write( "Now we are told that these times are equal, so:<BR>\n" );
document.write( "210/(r+20)=170/r  divide each term by 10 to simplify<BR>\n" );
document.write( "21/(r+20)=17/r  multiply each term by r(r+20)<BR>\n" );
document.write( "21r=17(r+20)  expand<BR>\n" );
document.write( "21r=17r+340 subtract 17r from each side<BR>\n" );
document.write( "4r=340<BR>\n" );
document.write( "r=85 mph---Train B's speed<BR>\n" );
document.write( "r+20=85+20=105 mph---train A's speed\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "210/105 =170/85<BR>\n" );
document.write( "2=2\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps-----ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );