document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981631>Question 981631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the time it takes for Andrew, Betty, or Carol to paint a garage working alone is A, B, or C hours respectively, where A,B,and C are positive integers. If they paint the garage together in 1 hour and 15 minutes, then what are the possible values of A,B, and C? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602631 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=602631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 15 minutes is what portion of an hour?  15/60 = 1/4.  One of the painters must take 4 hours.  That leaves a whole hour left.  Any combination that can equal a whole works.<BR>\n" );
document.write( "For instance, let's assume that Andrew takes 4 hours (for all cases since we need a quarter hour.)  <BR>\n" );
document.write( "If A = 1/4, and B = 0, then C = 1/1 (total of 1 1/4 hours)<BR>\n" );
document.write( "If A = 1/4, and B = 1/1, then C = 0 (not everyone is in agreement that 0 is an integer)<BR>\n" );
document.write( "If A = 1/4, and B = 2, then C = 2 (1/4 + 1/2 + 1/2 = 1 1/4)<BR>\n" );
document.write( "Are there any other WHOLE numbers?  I didn't find any.  Of course, any of them can be the 4 hours...<BR>\n" );
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