document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205726>Question 1205726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two students agreed to meet at the Library between 6 pm and 7 pm. They also agree that the student arriving first will wait for a maximum of 25 minutes. What is the probability that they will meet, if they arrive at the Library between 6 pm and 7 pm randomly (uniform random distribution)?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842733 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Picture the diagram as described in the response from tutor @ikleyn.<br><BR>\n" );
document.write( "Then here is a different way you can do the calculations to find the answer to the problem.<br><BR>\n" );
document.write( "Note that the two isosceles right triangles representing the combinations of times when the two students do NOT meet have legs of \"length\" 35 minutes, or 7/12 of an hour.<br><BR>\n" );
document.write( "Those two triangles put together form a square with side length 7/12 of an hour, so the area of those two triangles together is (7/12)^2 = 49/144 of the total area of the square.<br><BR>\n" );
document.write( "Then the area of the square representing the combinations of times when the two students WILL meet is (144-49)/144 = 95/144 of the total area of the square.  So<br><BR>\n" );
document.write( "ANSWER: The probability that they will meet is 95/144<br><BR>\n" );
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