document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65252>Question 65252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two friends who have unpredictable lunch hours agree to meet for lunch at their favourite restaurant whenever possible.  Neither wishes o eat alone and each dislikes waiting for the other, so they agree that each will arrive at a random time between noon and 1pm, and each will wait for the other for 15 minutes or until 1:00.  What is the probably that the friends will meet for lunch on a given day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46048 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two friends who have unpredictable lunch hours agree to meet for lunch at their favourite restaurant whenever possible. Neither wishes o eat alone and each dislikes waiting for the other, so they agree that each will arrive at a random time between noon and 1pm, and each will wait for the other for 15 minutes or until 1:00. What is the probably that the friends will meet for lunch on a given day?<BR>\n" );
document.write( "You may edit the question.<BR>\n" );
document.write( "LET THE 2 FRIENDS BE A AND B.<BR>\n" );
document.write( "LET US TAKE OUR UNIT OF MEASUREMENT OF TIME TO BE 1 SEC(THIS COULD BE ANY CONVENIENT INTERVAL). ACCURACY.SO LETUS SPLIT THE TIME INTERVAL OF 12=00 NOON TO 1=00 PM INTO 3600 SECS.THAT IS 0 REPRESENTING 12=00 NOON AND 3600 REPRESENTING 1=00 PM.<BR>\n" );
document.write( "LET A COME AT ANY TIME T BETWEEN 0 TO 3600.....TOTAL POSSIBILITIES =3600<BR>\n" );
document.write( "LET US CONIDER 3 CASES<BR>\n" );
document.write( "1.T IS BETWEEN 0 TO 15*60=900 SECS[12=00 NOON TO 12=15 PM]......900 POSSIBILITIES								<BR>\n" );
document.write( "2.T IS BETWEEN 900 TO 2700 SECS [12=15 PM TO 12=45 PM.].......1800 POSSIBILITIES<BR>\n" );
document.write( "3.T IS BETWEEN 2700 TO 3600 SECS [12=45 NOON TO 13=00].........900 POSSIBILITIES								<BR>\n" );
document.write( "CASE1…								<BR>\n" );
document.write( "B CAN COME FROM 0 TO T+900 ANY TIME….NUMBER OF POSSIBILITIES <BR>\n" );
document.write( "= (T+900)-0 = T+900								<BR>\n" );
document.write( "CASE 2								<BR>\n" );
document.write( "B CAN COME FROM T-900 TO T+900 ANY TIME ..NUMBER OF POSSIBILITIES<BR>\n" );
document.write( "=(T+900)-(T-900)=1800								<BR>\n" );
document.write( "CASE 3								<BR>\n" );
document.write( "B CAN COME FROM T-900 TO 3600 ANY TIME..NUMBER OF POSSIBILITIES <BR>\n" );
document.write( "=3600-(T-900)= 2700-T 								\r<BR>\n" );
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document.write( "TOTAL POSSIBILITIES = 3600*3600 = 12960000					<BR>\n" );
document.write( "SUCCESFULL POSSIBILITIES..= 900(T+900)+1800*1800+900(2700-T)= 6480000		<BR>\n" );
document.write( "PROBABILITY OF SUCCESS OR HAVING LUNCH TOGETHER = 6480000/12960000 = 0.5\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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