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At a certain carpet factory, if carpeting of width 10 feet is moving c

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At a certain carpet factory, if carpeting of width 10 feet is moving c [#permalink]

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New post 05 Feb 2017, 19:55
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64% (02:02) correct 36% (02:03) wrong based on 115 sessions

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At a certain carpet factory, if carpeting of width 10 feet is moving continuously through a dryer at a constant speed of 2160 feet per hour, how many SECONDS does it take for an area of 1 square foot of carpeting to move through the dryer?


A) 1/6
B) 1/3
C) 6
D) 36
E) 60
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Re: At a certain carpet factory, if carpeting of width 10 feet is moving c [#permalink]

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New post 05 Feb 2017, 20:15
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ssr300 wrote:
At a certain carpet factory, if carpeting of width 10 feet is moving continuously through a dryer at a constant speed of 2160 feet per hour, how many SECONDS does it take for an area of 1 square foot of carpeting to move through the dryer?


A) 1/6
B) 1/3
C) 6
D) 36
E) 60


Hi,
10 feet in width requires 1/10 feet in length to move through for covering ONE sq ft..
2160 feet in 3600 secs....
Or 1/10 in \(\frac{3600}{2160*10}=1/6\)...

Or
2160*10 square feet in 1hr or 3600 secs..
1sq ft in 3600/21600 that is 1/6 secs..

A
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Re: At a certain carpet factory, if carpeting of width 10 feet is moving c [#permalink]

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New post 05 Feb 2017, 21:46
ssr300 wrote:
At a certain carpet factory, if carpeting of width 10 feet is moving continuously through a dryer at a constant speed of 2160 feet per hour, how many SECONDS does it take for an area of 1 square foot of carpeting to move through the dryer?


A) 1/6
B) 1/3
C) 6
D) 36
E) 60


we have 10*2160 square feet carpet moving under the dryer for 3600 seconds.
we need to find the time to move 1 sq. feet of carpet through the dryer => let the time required be x
Therefore (2160*10)/3600 = 1/x
x = 3600/21600 = 1/6

Hence Option A is correct.
Hit Kudos if you liked it. 8-)
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Re: At a certain carpet factory, if carpeting of width 10 feet is moving c [#permalink]

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New post 08 Feb 2017, 19:53
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1
ssr300 wrote:
At a certain carpet factory, if carpeting of width 10 feet is moving continuously through a dryer at a constant speed of 2160 feet per hour, how many SECONDS does it take for an area of 1 square foot of carpeting to move through the dryer?


A) 1/6
B) 1/3
C) 6
D) 36
E) 60


Since the carpeting has a width of 10 feet, 1 square foot of this carpet has length 1/10 of a foot. Recall that 1 hour is 3600 seconds. To find how long it takes 1 square foot of this carpet to move through the dryer, we can let t be the time in seconds that it takes 1/10 of a foot to move through. We’ll then form the following proportion: 2160 feet is to 3600 seconds as 1/10 of a foot is to t seconds.

2160/3600 = (1/10)/t

t =[(1/10) x 3600]/2160

t = 360/2160

t = 1/6

Answer: A
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Re: At a certain carpet factory, if carpeting of width 10 feet is moving c [#permalink]

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New post 05 May 2018, 02:44
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Re: At a certain carpet factory, if carpeting of width 10 feet is moving c   [#permalink] 05 May 2018, 02:44
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