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# If the two floors in a certain building are 9 feet apart

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
If the two floors in a certain building are 9 feet apart  [#permalink]

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23 Jul 2012, 03:48
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:45) correct 15% (00:54) wrong based on 1090 sessions

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If the two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?

(1) Each step is 3/4 foot high.
(2) Each step is 1 foot wide.

Practice Questions
Question: 4
Page: 275
Difficulty: 550

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Re: If the two floors in a certain building are 9 feet apart  [#permalink]

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27 Jul 2012, 07:00
1
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SOLUTION

If the two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?

(1) Each step is 3/4 foot high. Since each step is 3/4 foot high and the stairs rises 9 feet from the first floor to the second, the number of steps must be $$\frac{9}{(\frac{3}{4})}=12$$. Sufficient.

(2) Each step is 1 foot wide. Clearly insufficient.

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Re: If the two floors in a certain building are 9 feet apart  [#permalink]

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25 Apr 2015, 01:26
Bunuel wrote:
If the two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?

(1) Each step is 3/4 foot high.
(2) Each step is 1 foot wide.

Practice Questions
Question: 4
Page: 275
Difficulty: 550

Hi Bunuel

In this why cant answer be E. What if I assume stairs are made in circular pattern and not vertical as assumed in the solution.
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Re: If the two floors in a certain building are 9 feet apart  [#permalink]

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25 Apr 2015, 02:32
2
sinhap07 wrote:
Bunuel wrote:
If the two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?

(1) Each step is 3/4 foot high.
(2) Each step is 1 foot wide.

Practice Questions
Question: 4
Page: 275
Difficulty: 550

Hi Bunuel

In this why cant answer be E. What if I assume stairs are made in circular pattern and not vertical as assumed in the solution.

Hello sinhap07
Even if stairs in circular pattern they are still should going to the next floor. Right?
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Re: If the two floors in a certain building are 9 feet apart  [#permalink]

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12 May 2016, 04:00
Statement 1 tells us the height of each stair step - 3/4 foot and vertical distance between 2 floors is 9 feet, it is sufficient to find the number of steps 9/ (3/4)= 12 steps Sufficient
Statement 2 gives us the width of each step which is totally unnecessary in calculating the number of steps insufficient
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Re: If the two floors in a certain building are 9 feet apart  [#permalink]

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14 May 2016, 05:09
2
Bunuel wrote:
If the two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?

(1) Each step is 3/4 foot high.
(2) Each step is 1 foot wide.

Let's sketch a diagram of the stairs. Keep in mind that we don’t know the number of stairs between the floors, but the problem will be easier to solve by first drawing a picture.

From the picture, we can see that if we knew the height of each stair, we could determine the number of stairs that exist between floor one and floor two. Creating an equation we have:

9 feet/(height per step) = number of steps between floors

Statement One Alone:

Each step is 3/4 foot high.

Using the information in statement one we can determine that there are 9/(3/4) = 12 steps between floor 1 and floor 2. Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Statement Two Alone:

Each step is 1 foot wide.

Knowing only the width of each step does not provide enough information to answer the question.

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Re: If the two floors in a certain building are 9 feet apart  [#permalink]

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10 Oct 2017, 22:14
Scott brilliantly explained. Thanks
Re: If the two floors in a certain building are 9 feet apart &nbs [#permalink] 10 Oct 2017, 22:14
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