document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=485368>Question 485368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man drives regularly from his office to his home when he drives 36 kph he arrives home 3 minutes late than usual. When he drives 45 kph he arrives 3 minutes earlier than usual. Find his usual and the distance from his office to his home? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #332009 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=332009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a man drives regularly from his office to his home when he drives 36 kph he arrives home 3 minutes late than usual.<BR>\n" );
document.write( " When he drives 45 kph he arrives 3 minutes earlier than usual.<BR>\n" );
document.write( " Find his usual driving time, and the distance from his office to his home?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = his usual driving time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Change 3 min to hrs. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F60 ALIGN=MIDDLE  ALT=\"3%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .05 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a dist equation, Dist = speed * time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "45(t-.05) = 36(t+.05)<BR>\n" );
document.write( "45t - 2.25 = 36t + 1.8<BR>\n" );
document.write( "45t - 36t = 1.8 + 2.25<BR>\n" );
document.write( "9t = 4.05<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.05%2F9 ALIGN=MIDDLE  ALT=\"4.05%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = .45 hrs which is; .45(60) = 27 minutes, his normal driving time <BR>\n" );
document.write( ";<BR>\n" );
document.write( "Find the distance when he is 3 min early (24 min)<BR>\n" );
document.write( "45*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F60 ALIGN=MIDDLE  ALT=\"24%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 18 km<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check the distance when he is 3 min late (30 min)<BR>\n" );
document.write( "36*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F60 ALIGN=MIDDLE  ALT=\"30%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 18 km<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Summarize, 27 min normal drive time, 18 km is the distance </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );