
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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May 23rd, 2018, 03:16 AM  #1 
Senior Member Joined: Feb 2014 Posts: 114 Thanks: 1  Question about collaboration
Hello, One person paints a room in two hours. Another person paints the same room in three hours. If two person collaboration with each other, How long paints room? Thanks 
May 23rd, 2018, 03:36 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,930 Thanks: 884 
Hint: in 1 hour, 1/2 + 1/3 = 5/6 of job gets done

May 23rd, 2018, 06:16 AM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 
When two people work together, their rates add. "One person paints a room in two hours." So this person works at a rate of one room per two hours or 1/2 room per hour, "Another person paints the same room in three hours." So this person works at a rate of one room per three hours or 1/3 room per hour. Together they work at the rate 1/2+ 1/3= 3/6+ 2/6= 5/6 room per hour. That is 6/5 hour per room. They would paint the room in 6/5 hour which is the same as 1 hour and 12 minutes. 
May 23rd, 2018, 01:33 PM  #4 
Senior Member Joined: Feb 2014 Posts: 114 Thanks: 1 
Great answer. Thanks


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