document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757384>Question 757384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Vehicle A which is ahead of vehicle B by 2/3 mile is traveling at 53 mph. Vehicle B which is behind vehicle A is traveling 75 mph. How long and how far will it take vehicle B to catch vehicle A?\r<BR>\n" );
document.write( "\n" );
document.write( "Same question but with A going 30 mph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460808 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=460808\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Vehicle A which is ahead of vehicle B by 2/3 mile is traveling at 53 mph. Vehicle B which is behind vehicle A is traveling 75 mph. How long and how far will it take vehicle B to catch vehicle A? <BR>\n" );
document.write( "Same question but with A going 30 mph.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=distance A traveled<BR>\n" );
document.write( "x+2/3=distance B traveled to catch A<BR>\n" );
document.write( "travel time=distance/speed (same for A and B)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F53=%28x%2B2%2F3%29%2F75 ALIGN=MIDDLE  ALT=\"x%2F53=%28x%2B2%2F3%29%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "75x=53x+(106/3<BR>\n" );
document.write( "22x=106/3<BR>\n" );
document.write( "x=106/66<BR>\n" );
document.write( "x&#8776;1.6<BR>\n" );
document.write( "x+2/3&#8776;2.27 <BR>\n" );
document.write( "travel time=1.6/53=.03 hr or&#8776;1.81 min<BR>\n" );
document.write( "B will catch up to A in 1.81 min after traveling 2.27 mi<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For A going 30 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F30=%28x%2B2%2F3%29%2F75 ALIGN=MIDDLE  ALT=\"x%2F30=%28x%2B2%2F3%29%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "75x=30x+20<BR>\n" );
document.write( "45x=20<BR>\n" );
document.write( "x=20/45<BR>\n" );
document.write( "x&#8776;0.44<BR>\n" );
document.write( "x+2/3&#8776;1.11<BR>\n" );
document.write( "travel time=0.44/30=.015hr or&#8776;0.89 min<BR>\n" );
document.write( "B will catch up to A in 0.89 min after traveling 1.11mi </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );