document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106450>Question 1106450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. Brown drove from his home to his school at the rate of 25 mph and returned by a different route at the rate of 30 mph. The route by which he returned was 5 miles longer than the route by which he went. The return trip took 10 minutes less than the trip out. Find the distance Mr. Brown traveled each way. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721448 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mr. Brown drove from his home to his school at the rate of 25 mph and<BR>\n" );
document.write( " returned by a different route at the rate of 30 mph.<BR>\n" );
document.write( " The route by which he returned was 5 miles longer than the route by which he went.<BR>\n" );
document.write( " The return trip took 10 minutes less than the trip out.<BR>\n" );
document.write( " Find the distance Mr. Brown traveled each way.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let t = travel time at 25 mph<BR>\n" );
document.write( "10 min = 1/6 hr, therefore<BR>\n" );
document.write( "(t-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = time at 30 mph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "write a distance equation; dist = speed * time<BR>\n" );
document.write( "return dist = to dist + 5 mi<BR>\n" );
document.write( "30(t-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 25t + 5<BR>\n" );
document.write( "30t - 5 = 25t + 5<BR>\n" );
document.write( "30t - 25t = 5 + 5<BR>\n" );
document.write( "5t = 10<BR>\n" );
document.write( "t = 10/5<BR>\n" );
document.write( "t = 2 hrs is the travel time at 25 mph<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "25 * 2 = 50 mi to school<BR>\n" );
document.write( "and<BR>\n" );
document.write( "50 + 5 = 55 mi return home<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the return dist<BR>\n" );
document.write( "30(2-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "30(1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 55 mi<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );