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

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A certain tank is exactly one quarter full of water. At noon [#permalink] New post 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
Please explain your answer.
Optional: time you spend on this question
Manager
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Re: tank of water [#permalink] New post 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
Please explain your answer.
Optional: time you spend on this question


Let full capacity = X
(X/4) + 45 = (X/3)
3X + 540 = 4X
X = 540
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Re: tank of water [#permalink] New post 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
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Re: tank of water [#permalink] New post 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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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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