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July 12th, 2013, 08:28 AM  #1 
Newbie Joined: Jun 2012 Posts: 25 Thanks: 0  Rational Expression word problem. Please Help
This question doesn't have an answer at the back of the book and I'm unable to solve it. Chris can clean a house in 3 hours and Cheryl can clean the house in 2 hours. Their son, Tyler, can scatter toys all over the house in 4 hours. If Tyler starts scattering toys at the same time Chris and Cheryl start cleaning, when (if ever) will the house be clean? 
July 12th, 2013, 09:16 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: Rational Expression word problem. Please Help
Since the least common multiple of 3, 2, and 4 is 12, I would look at how many houses the 3 of them will together clean in 12 hours. This is: 4 + 6  3 = 7 So, their house will be clean in 12/7 hr. 
July 12th, 2013, 11:46 AM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Rational Expression word problem. Please Help Hello, AKofTroy! Quote:
 
July 13th, 2013, 11:35 AM  #4 
Newbie Joined: Jun 2012 Posts: 25 Thanks: 0  Re: Rational Expression word problem. Please Help
Thanks alot soroban. Word problems are the hardest in algebra. MarkFL, you could have put in more explanation.

July 13th, 2013, 12:00 PM  #5  
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: Rational Expression word problem. Please Help Quote:
 
July 13th, 2013, 02:45 PM  #6 
Newbie Joined: Jun 2012 Posts: 25 Thanks: 0  Re: Rational Expression word problem. Please Help
I hadn't understood why you used LCM and where 4+63 came from.

July 13th, 2013, 05:19 PM  #7  
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: Rational Expression word problem. Please Help Quote:
 

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