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A certain tank is exactly one quarter full of water. At noon

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Manager
Joined: 25 Feb 2008
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A certain tank is exactly one quarter full of water. At noon [#permalink]  21 Mar 2008, 05:13
A certain tank is exactly one quarter full of water. At noon a valve is opened allowing water to pour into the tank at the rate of 90 gallons an hour. Half an hour later, the tank is exactly one third full. How many gallons of water does the tank hold when it is completely full?
375
410
450
510
540
Optional: time you spend on this question
Manager
Joined: 20 Aug 2007
Posts: 65
Followers: 1

Kudos [?]: 9 [0], given: 0

Re: tank of water [#permalink]  21 Mar 2008, 05:57
Capthan wrote:
A certain tank is exactly one quarter full of water. At noon a valve is opened allowing water to pour into the tank at the rate of 90 gallons an hour. Half an hour later, the tank is exactly one third full. How many gallons of water does the tank hold when it is completely full?
375
410
450
510
540
Optional: time you spend on this question

Let full capacity = X
(X/4) + 45 = (X/3)
3X + 540 = 4X
X = 540
Manager
Joined: 28 Sep 2007
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Re: tank of water [#permalink]  21 Mar 2008, 07:06
It would be 540.

1/3-1/4=1/12=amount filled up within 30 min.

90 gallons an hour/2 = 45 gallons in 30 min

45x12=540
Manager
Joined: 31 Oct 2007
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Location: Frankfurt, Germany
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Re: tank of water [#permalink]  21 Mar 2008, 07:07
Alternatively, the increase is 1/3 - 1/4 = 1/12
and 1/12th = 45gallons

Therefore 12/12th (or 1) = 45 * 12 = 540

Ans: E
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Jimmy Low, Frankfurt, Germany
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GMAT Malaysia: http://gmatmalaysia.blogspot.com

Re: tank of water   [#permalink] 21 Mar 2008, 07:07
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A certain tank is exactly one quarter full of water. At noon

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