document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=881687>Question 881687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man reaches his office from his home 40 minutes too late.if he walks at 3 km an hour and 30 minutes too soon.if he walks 4 km an hour.how far is his office frm 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 #532407 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=532407\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a man reaches his office from his home 40 minutes too late if he walks at 3 km an hour.<BR>\n" );
document.write( " And 30 minutes too soon, if he walks 4 km an hour.<BR>\n" );
document.write( "how far is his office from his home?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = distance from his home to his office<BR>\n" );
document.write( "the difference between being 40 min late and 30 min to soon, is 70 min<BR>\n" );
document.write( "70 min <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F6 ALIGN=MIDDLE  ALT=\"7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write time equation; time = dist/speed<BR>\n" );
document.write( "Late time - early time = 70 min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F3 ALIGN=MIDDLE  ALT=\"d%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4 ALIGN=MIDDLE  ALT=\"d%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F6 ALIGN=MIDDLE  ALT=\"7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply equation by 24<BR>\n" );
document.write( "24*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F3 ALIGN=MIDDLE  ALT=\"d%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 24*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4 ALIGN=MIDDLE  ALT=\"d%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 24*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F6 ALIGN=MIDDLE  ALT=\"7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel the denominators and you have<BR>\n" );
document.write( "8d - 6d = 4(7)<BR>\n" );
document.write( "2d = 28<BR>\n" );
document.write( "d = 28/2<BR>\n" );
document.write( "d = 14 km from home to work<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out, find the time at each speed<BR>\n" );
document.write( "14/3 = 4.67 hrs<BR>\n" );
document.write( "14/4 = 3.5 hrs<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "time dif: 1.17 hrs which is about 70 min<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );