document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260463>Question 260463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My brother and I walk the same route to school every day.  My brother takes 40 minutes to get to school and it takes me 30 minutes.  Today, my brother left 8 minutes before I did.  How long will it take me to catch up with him? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191850 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=191850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is an RTD problem. Here is a table based on the given information:<BR>\n" );
document.write( "brothers . . . . . . . . rate . . . . . . . . . .time . . . . . . . . . .distance<BR>\n" );
document.write( "brother . . . . . . . . . .D/40 . . . . . . . .. .T+8 . . . . . . . . . . . .D<BR>\n" );
document.write( "me . . . . . . . . . . . . . D/30. . . . . . . . . .T . . . . . . . . . . . . . .D<BR>\n" );
document.write( "you want to catch up to brother, so the distances must be equal.<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28D%2F40%29%2A%28T%2B+8%29+=+%28D%2F30%29%2AT ALIGN=MIDDLE  ALT=\"%28D%2F40%29%2A%28T%2B+8%29+=+%28D%2F30%29%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply to get<BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2AD%2A%28T%2B8%29+=+40DT ALIGN=MIDDLE  ALT=\"30%2AD%2A%28T%2B8%29+=+40DT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify to get<BR>\n" );
document.write( "(iii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30DT+%2B+240D+=+40DT ALIGN=MIDDLE  ALT=\"30DT+%2B+240D+=+40DT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtracting, we get<BR>\n" );
document.write( " (iv) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240D+=+10DT ALIGN=MIDDLE  ALT=\"240D+=+10DT\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by 10D to get<BR>\n" );
document.write( "(v) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+T ALIGN=MIDDLE  ALT=\"24+=+T\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You will catch up after 24 minutes. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );