document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002869>Question 1002869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Department ot Education is holding their annual Brigada Eskwela to prepare and clean up the classrooms.Kimberly can paint a chair in 45 minutes.Arthur can paint the same chairs in 30 minutes. If they work together, how long will it take them to paint six chairs. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853940 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13326)</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=853940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "All of the responses you have received so far use the same formal algebraic method that is found in most textbooks, using fractions of the job performed by each worker each minute.<br><BR>\n" );
document.write( "Here is a less formal way of solving this kind of problem; this method can be a lot faster than the formal algebraic method, especially if the numbers are \"nice\".<br><BR>\n" );
document.write( "Consider the least common multiple of the two given times, which is 90 minutes.  In 90 minutes...<BR>\n" );
document.write( "the number of chairs Kimberly can paint is 90/45 = 2<BR>\n" );
document.write( "the number of chairs Arthur can paint is 90/3 = 3<BR>\n" );
document.write( "the number of chairs they can paint together is 2+3 = 5<br><BR>\n" );
document.write( "They can paint 5 chairs in 90 minutes, so the number of minutes it takes them to paint each chair is 90/5 = 18.<br><BR>\n" );
document.write( "So the time required for them to paint 6 chairs is 18*5 = 108 minutes<br><BR>\n" );
document.write( "ANSWER: 108 minutes<br><BR>\n" );
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