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" );
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document.write( "Let's say for a hypothetical argument that each chair's surface area is 900 square inches.<BR>\n" );
document.write( "As it turns out, this figure 900 doesn't matter since you can change it to any positive real number you want. The final answer at the end will remain the same.\r<BR>\n" );
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document.write( "Kimberly can paint one chair (900 square inches) in 45 minutes, so her unit rate is 20 square inches per minute because:<BR>\n" );
document.write( "rate = amountDone/time = 900/45 = 20 square inches per minute\r<BR>\n" );
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document.write( "Meanwhile,<BR>\n" );
document.write( "Arthur's unit rate = 900/30 = 30 square inches per minute\r<BR>\n" );
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document.write( "When the two work together, the combined unit rate would be 20+30 = 50 square inches per minute. <BR>\n" );
document.write( "This assumes neither person slows the other down.\r<BR>\n" );
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document.write( "1 chair has 900 square inches of material.<BR>\n" );
document.write( "6 chairs cover 6*900 = 5400 square inches\r<BR>\n" );
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document.write( "rate*time = amountDone<BR>\n" );
document.write( "time = amountDone/rate<BR>\n" );
document.write( "time = 5400/50<BR>\n" );
document.write( "time = 108 minutes<BR>\n" );
document.write( "time = 60 min + 48 min<BR>\n" );
document.write( "time = 1 hr + 48 min\r<BR>\n" );
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document.write( "Answer: <font color=red>108 minutes</font> (i.e. <font color=red>1 hour & 48 minutes</font>)\r<BR>\n" );
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document.write( "Side note: The answer by mananth applies to 1 chair. You have to multiply 18 by 6 to get the time duration for 6 chairs.<BR>\n" );
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