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The water level in a rectangular swimming pool measuring 60 [#permalink]

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08 Mar 2011, 15:08

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A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

57% (02:20) correct
43% (01:21) wrong based on 620 sessions

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The water level in a rectangular swimming pool measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)

The water level in a rectangular swimming pool measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)

a. 100 b. 250 c. 750 d. 1200 e. 5625

6 inches = 1/2 feet (there are 12 inches in a foot.), so 60*25*1/2=750 feet^3 of water must be removed, which equals to 750*7.5=5625 gallons.

Volume of the swimming pool where water needs to be lowered = 60 * 25 * 6/12 = 750 cu. ft Water in Gallons that needs to be removed = 750 * 7.5 = 5625 Gallons OA is E
_________________

The water level in a rectangular swimming pool measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)

a. 100 b. 250 c. 750 d. 1200 e. 5625

6 inches = 1/2 feet (there are 12 inches in a foot.), so 60*25*1/2=750 feet^3 of water must be removed, which equals to 750*7.5=5625 gallons.

Answer: E.

Can you explain why you multiply by 1/2? The problem doesn't say that you lower the pool by half but only by 6 inches. I would think that you would multiply by 1/2 if the question asked to lower the pool by 12.5 feet. What am i missing. Thank you very much!

The water level in a rectangular swimming pool measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)

a. 100 b. 250 c. 750 d. 1200 e. 5625

6 inches = 1/2 feet (there are 12 inches in a foot.), so 60*25*1/2=750 feet^3 of water must be removed, which equals to 750*7.5=5625 gallons.

Answer: E.

Can you explain why you multiply by 1/2? The problem doesn't say that you lower the pool by half but only by 6 inches. I would think that you would multiply by 1/2 if the question asked to lower the pool by 12.5 feet. What am i missing. Thank you very much!

Two dimensions (60 feet and 25 feet) are given in feet, so we should express the third dimension in feet too: 6 inches = 1/2 feet.
_________________

The water level in a rectangular swimming pool measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)

a. 100 b. 250 c. 750 d. 1200 e. 5625

6 inches = 1/2 feet (there are 12 inches in a foot.), so 60*25*1/2=750 feet^3 of water must be removed, which equals to 750*7.5=5625 gallons.

Answer: E.

Can you explain why you multiply by 1/2? The problem doesn't say that you lower the pool by half but only by 6 inches. I would think that you would multiply by 1/2 if the question asked to lower the pool by 12.5 feet. What am i missing. Thank you very much!

Two dimensions (60 feet and 25 feet) are given in feet, so we should express the third dimension in feet too: 6 inches = 1/2 feet.[/quote]

Thanks. To follow up, how do you know what the third dimension is? It could be 10 feet where 6 inches would be 6/120 or it could be 1 foot where 6 inches would be 1/2. I assume you mention the third dimension since we are talking about the volume, but how can we assume anything about the third dimension?

Thanks. To follow up, how do you know what the third dimension is? It could be 10 feet where 6 inches would be 6/120 or it could be 1 foot where 6 inches would be 1/2. I assume you mention the third dimension since we are talking about the volume, but how can we assume anything about the third dimension?

It seems that you misunderstood the question: questions is simple saying that 60*25*1/2=750 feet^3 of water is removed and asks to calculate how much is that in gallons.
_________________

Re: The water level in a rectangular swimming pool measuring 60 [#permalink]

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12 Feb 2014, 16:35

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Bunuel wrote:

fozzzy wrote:

Tricky question! What would be the difficulty level of this question bunuel

Look at the statistics in the original post: 45% answered incorrectly, so I'd say the difficulty level is ~650.

I don't think that in the real test they won't give you the relation feet inches. Even less now considering how many non american citizens are taking the test

Re: The water level in a rectangular swimming pool measuring 60 [#permalink]

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20 Mar 2015, 00:58

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Re: The water level in a rectangular swimming pool measuring 60 [#permalink]

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04 Apr 2016, 18:06

tonebeeze wrote:

The water level in a rectangular swimming pool measuring 60 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)

A. 100 B. 250 C. 750 D. 1200 E. 5625

I believe the question is not properly written. there is no info given about the measures of inches to feet since I live in US, i know about it..but people from EU definitely have no idea about the conversion from inches to ft. 12 inch = 1ft suppose the pool is 1ft deep. then we have 60x25x1 = 1500 cu ft. now..we need to lower 6 inches, which means we have 0.5 ft. 60x25x0.5 = 30x25 = 750 cu ft. so we need to take out 750 cu ft. 750 cu ft * 7.5 = 75^2. since we have 5 in the end, only E works.

E

gmatclubot

Re: The water level in a rectangular swimming pool measuring 60
[#permalink]
04 Apr 2016, 18:06

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