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anjaligeorge1 Rising GMAT Star
Joined: 20 Feb 2008 Posts: 62
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Posted: Thu Jun 12, 2008 9:40 am Post subject: time and work |
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Pump X started filling an empty pool with water and continued at a constant rate. 5 hours later, the pool was 1/4 full. Then, pump B joined the work. 9 hours later, the pool was full. Working alone at its constant rate, how long will it take B to fill the empty pool?
(A) 15
(B) 18
(C) 20
(D) 30
(E) 45
answer is D.How do i solve this |
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durgesh79 Really wants to Beat The GMAT!
Joined: 22 Apr 2008 Posts: 168
Thanks given: 5 Thanked 12 times in 10 posts
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Posted: Thu Jun 12, 2008 9:52 am Post subject: Re: time and work |
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| anjaligeorge1 wrote: | Pump X started filling an empty pool with water and continued at a constant rate. 5 hours later, the pool was 1/4 full. Then, pump B joined the work. 9 hours later, the pool was full. Working alone at its constant rate, how long will it take B to fill the empty pool?
(A) 15
(B) 18
(C) 20
(D) 30
(E) 45
answer is D.How do i solve this |
Pump X fills 1/4 of the Pool in 5 hrs. Means it'll take 4X5=20 hrs for X to fill the total pool alone.
Both X and Y fill 3/4 of the pool in 9 hrs. Mean it'll take 9*4/3 = 12 hrs for both X and Y to fill the total pool.
1/Y + 1/20 = 1/12
Y = 30. Option D |
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