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# In a certain ancient kingdom, the length of a foot was the length of

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In a certain ancient kingdom, the length of a foot was the length of  [#permalink]

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18 Jun 2018, 05:49
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Difficulty:

45% (medium)

Question Stats:

58% (01:16) correct 42% (00:51) wrong based on 23 sessions

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In a certain ancient kingdom, the length of a foot was the length of the current king’s foot. If the newly crowned monarch had a 12 inch foot as opposed to the 10 inch foot of his predecessor, a formerly 300 foot fence would now have a length of how many feet? (Assume that the length of an inch remains constant.)

(A) 250
(B) 302
(C) 350
(D) 360
(E) 400

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Re: In a certain ancient kingdom, the length of a foot was the length of  [#permalink]

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18 Jun 2018, 06:00
The formerly 300ft fence would be 3000 inches. Since a foot is now 12 inches, the fence would be 3000/12 = 250ft.

The other way to calculate it is to take 300*10/12 (length*(old foot)/(new foot)).

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Re: In a certain ancient kingdom, the length of a foot was the length of  [#permalink]

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18 Jun 2018, 06:20
1

Solution

As the length of the foot increases from past to present, the original length should be less at present, compared to the past length of 300

Only one option is less than 300

Hence, the correct answer is option A.

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Re: In a certain ancient kingdom, the length of a foot was the length of  [#permalink]

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18 Jun 2018, 06:22

Alternate (Conventional) Solution

Given:
• Previously length of a foot = 10 inch
• Presently length of a foot = 12 inch

To find:
• What should be the length in present, of a former 300-foot fence

Approach and Working:
If we assume the present length of the former 300-foot fence is x, then we can write
• 12 * x = 10 * 300
Or, x = $$\frac{10 * 300}{12}$$ = 250

Hence, the correct answer is option A.

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Re: In a certain ancient kingdom, the length of a foot was the length of  [#permalink]

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20 Jun 2018, 15:59
Bunuel wrote:
In a certain ancient kingdom, the length of a foot was the length of the current king’s foot. If the newly crowned monarch had a 12 inch foot as opposed to the 10 inch foot of his predecessor, a formerly 300 foot fence would now have a length of how many feet? (Assume that the length of an inch remains constant.)

(A) 250
(B) 302
(C) 350
(D) 360
(E) 400

Since the length of an inch remains constant, let’s convert the two “foot” systems to inches.

Now, since each old foot is 10 inches, 300 old feet = 300 x 10 = 3000 inches. Since each new foot is 12 inches, we see that 3000 inches = 3000/12 = 250 new feet.

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Re: In a certain ancient kingdom, the length of a foot was the length of  [#permalink]

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10 Sep 2018, 20:27
Hi,
I did not get the question.
As well the solution.

What is the relation between king's foot and fence foot (only said that king's foot=length of foot) and also I did not get (Assume that the length of an inch remains constant.)
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Re: In a certain ancient kingdom, the length of a foot was the length of &nbs [#permalink] 10 Sep 2018, 20:27
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