document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346579>Question 346579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . A man left A  at 6:00 a.m. expecting to reach B at 9:00 a.m. But after walking one hour, he was delayed for half an hour and so he had to increase his rate by 1 mile per hour to reach B at 9:00 a.m. Find his speed before the delay and the distance between A and B.\r<BR>\n" );
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document.write( "thanks.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247878 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=247878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man left A at 6:00 a.m. expecting to reach B at 9:00 a.m.<BR>\n" );
document.write( " But after walking one hour, he was delayed for half an hour and so he had to<BR>\n" );
document.write( " increase his rate by 1 mile per hour to reach B at 9:00 a.m.<BR>\n" );
document.write( " Find his speed before the delay and the distance between A and B.<BR>\n" );
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document.write( "Let d = distance from A to B<BR>\n" );
document.write( "Given that he left at 6, and expected to be there at 9, therefore:<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;\" > = original speed<BR>\n" );
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document.write( "He walked for 1 hr, then stopped for .5 hrs, therefore<BR>\n" );
document.write( "he continued at a speed of (<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;\" > + 1) for 1.5 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "dist = speed * time<BR>\n" );
document.write( "total dist = slow speed dist + faster speed dist<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%28d%2F3%29 ALIGN=MIDDLE  ALT=\"1%28d%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%28d%2F3+%2B+1%29 ALIGN=MIDDLE  ALT=\"1.5%28d%2F3+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <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=%281.5d%29%2F3+%2B+1.5%29 ALIGN=MIDDLE  ALT=\"%281.5d%29%2F3+%2B+1.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282.5d%29%2F3+%2B+1.5%29 ALIGN=MIDDLE  ALT=\"%282.5d%29%2F3+%2B+1.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by 3<BR>\n" );
document.write( "3d = 2.5d + 3(1.5)<BR>\n" );
document.write( "3d - 2.5d = 4.5<BR>\n" );
document.write( ".5d = 4.5<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.5%2F.5 ALIGN=MIDDLE  ALT=\"4.5%2F.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 9 miles from A to B<BR>\n" );
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document.write( "Find the original speed:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F3 ALIGN=MIDDLE  ALT=\"9%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 mph<BR>\n" );
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document.write( "Confirm this by finding the distance at each speed<BR>\n" );
document.write( "1 * 3 = 3 miles<BR>\n" );
document.write( "1.5 * 4 = 6 mile<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "total dist: 9 mi </SPAN>\n" );
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