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Each step of a staircase is 0.25 meter wide and 0.20 meter high

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Each step of a staircase is 0.25 meter wide and 0.20 meter high  [#permalink]

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New post 23 Nov 2018, 07:42
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A
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Difficulty:

  45% (medium)

Question Stats:

59% (01:59) correct 41% (02:12) wrong based on 51 sessions

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Each step of a staircase is 0.25 meter wide and 0.20 meter high, as shown in the figure above. All angles shown in the figure are right angles. If the height of the staircase is 3.6 meters and the landing at the top of the staircase is 1 meter wide, how long, in meters, is AB?

(A) 3.0
(B) 4.25
(C) 4.5
(D) 5.25
(E) 5.5

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Stairs.JPG
Stairs.JPG [ 26.14 KiB | Viewed 405 times ]

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Each step of a staircase is 0.25 meter wide and 0.20 meter high  [#permalink]

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New post Updated on: 23 Nov 2018, 11:37
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As per the Q the solution might look like :
total steps = 3.6/0.2 =18
height intervals = 18-1= 17
width covered by 17 intervals = 17*0.25= 4.25m
Hence Ab = 4.25+1=5.25m ..... Ans D
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Originally posted by u1983 on 23 Nov 2018, 09:04.
Last edited by u1983 on 23 Nov 2018, 11:37, edited 1 time in total.
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Re: Each step of a staircase is 0.25 meter wide and 0.20 meter high  [#permalink]

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New post 23 Nov 2018, 10:15
Hello HKD1710

I think you for forgot :lol: to attach the image.

Thanks!
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Re: Each step of a staircase is 0.25 meter wide and 0.20 meter high  [#permalink]

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New post 23 Nov 2018, 10:57
HKD1710 wrote:
Each step of a staircase is 0.25 meter wide and 0.20 meter high, as shown in the figure above. All angles shown in the figure are right angles. If the height of the staircase is 3.6 meters and the landing at the top of the staircase is 1 meter wide, how long, in meters, is AB?

(A) 3.0
(B) 4.25
(C) 4.5
(D) 5.25
(E) 5.5

Project PS Butler : Question #35


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HKD1710 i know you dont like posting questions with diagrams :lol: though it would be nice to see "the figure above" :grin:
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Each step of a staircase is 0.25 meter wide and 0.20 meter high  [#permalink]

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New post 23 Nov 2018, 11:31
Thank you gmat1393 and dave13. I just updated the question with Image.u1983, Didn't need it, Great Quant skills :)
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Re: Each step of a staircase is 0.25 meter wide and 0.20 meter high  [#permalink]

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New post 24 Nov 2018, 05:49
We don't necessarily need the image .. just the total height and height of a single stair is enough to know number of steps.

36/2 = 18 stairs

17 stairs have length 0.25
Top stair has 1 m length
So 17* 0.25 + 1 = 5.25

Nice question.

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Re: Each step of a staircase is 0.25 meter wide and 0.20 meter high &nbs [#permalink] 24 Nov 2018, 05:49
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