document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172107>Question 1172107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A boy at 8:00 A.M. started to walk at the rate of 4 km/hr for 2 hours and 45 minutes, after which<BR>\n" );
document.write( "a man follows to overtake him with a rate of 4.5 km/hr at the 1st hour, 4.75 km/hr for the 2nd<BR>\n" );
document.write( "hour, and so on, increasing his rate by a quarter of a km each hour. Find the time when the man<BR>\n" );
document.write( "overtook the boy.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797046 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=797046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> oy at 8:00 A.M. started to walk at the rate of 4 km/hr for 2 hours and 45 minutes, after which a man follows to overtake him with a rate of 4.5 km/hr at the 1st hour, 4.75 km/hr for the 2nd hour, and so on, increasing his rate by a quarter of a km each hour.<BR>\n" );
document.write( " Find the time when the man overtook the boy.<BR>\n" );
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document.write( "Assume this means that the man started after the boy had walked for 2 hr 45 min or at 10:45'<BR>\n" );
document.write( ";<BR>\n" );
document.write( "let t = no. of hrs the man walked when overtaken by the boy<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+2.75) = no. hrs the boy walked<BR>\n" );
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document.write( "We have to get some idea of how long it will take in order to know the speeds that the man will walk.<BR>\n" );
document.write( "At an average rate of 5 km/h; He will travel 40 km in 8 hrs<BR>\n" );
document.write( "The boy has already walked 11 km when the man starts (2.75*4)<BR>\n" );
document.write( "In 8 hrs he will have traveled 32 km plus the 11 km or 43 km<BR>\n" );
document.write( "let's assume t will about 8 hrs<BR>\n" );
document.write( "The man will walk 8 different speeds, each for 1 hr. <BR>\n" );
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document.write( "Write a distance equation, both walked the same dist. Dist = speed * time<BR>\n" );
document.write( "4.5 + 4.75 + 5 + 5.25 + 5.5 + 5.75 + 6 + 6.25(t-7) = 4t + 11<BR>\n" );
document.write( "37.25 + 6.25t - 43.75 = 4t + 11<BR>\n" );
document.write( "6.25t - 6.5 = 4t + 11<BR>\n" );
document.write( "6.25t - 4t + 11 + 6.5<BR>\n" );
document.write( "2.25t = 17.5<BR>\n" );
document.write( "t = 17.5/2.25<BR>\n" );
document.write( "t = 7.78 hrs for man to catch the boy About: 7 + .78(60) = 7 hrs, 47<BR>\n" );
document.write( "What time was it?<BR>\n" );
document.write( "Starting at 10:45 add 7 hrs 47 min<BR>\n" );
document.write( "10:45<BR>\n" );
document.write( " 7:47<BR>\n" );
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document.write( "17 hrs 92 min or 18:32 or 6:32 PM The man overtook the boy </SPAN>\n" );
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