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

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Intern
Joined: 11 Jul 2016
Posts: 25
Location: Thailand
GMAT 1: 700 Q48 V38
At a certain carpet factory, if carpeting of width 10 feet is moving c  [#permalink]

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05 Feb 2017, 19:55
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Difficulty:

55% (hard)

Question Stats:

64% (02:32) correct 36% (02:39) wrong based on 132 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
Math Expert
Joined: 02 Aug 2009
Posts: 6961
Re: At a certain carpet factory, if carpeting of width 10 feet is moving c  [#permalink]

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05 Feb 2017, 20:15
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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

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

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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

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

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