My Math Forum Question about collaboration

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 May 23rd, 2018, 04:16 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, 04:36 AM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,791 Thanks: 970 Hint: in 1 hour, 1/2 + 1/3 = 5/6 of job gets done Thanks from life24
 May 23rd, 2018, 07:16 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 895 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. Thanks from life24
 May 23rd, 2018, 02:33 PM #4 Senior Member   Joined: Feb 2014 Posts: 114 Thanks: 1 Great answer. Thanks

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