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ssr300
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.
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Given

    • At a certain carpet factory, carpeting of width 10 feet is moving continuously through a dryer at a constant speed of 2160 feet per hour.


To Find

    • SECONDS it takes for an area of 1 square foot of carpeting to move through the dryer.


Approach and Working Out


    • In an hour it would cover 10 × 2160 ft2.
    • To cover 1 ft it should take \(\frac{1}{(10 × 2160)}\) hours
      o = \(\frac{3600}{(10 × 2160)} \)seconds
      o =\(\frac{1}{6}\) seconds.

Correct Answer: Option A
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ssr300
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
Solution:

1 square foot of carpeting has length of 0.1 ft if the width is 10 feet. Since the speed of the carpeting moving through the dryer is 2160 feet per hour, it’s moving at 2160/3600 = 0.6 feet per second. Therefore, it takes 0.1/0.6 = 1/6 of a second to move 1 square foot of carpeting.

Answer: A
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work = rate * time
rate per hour = 2160
rate per seconds = 2160/3600 ; 0.6
work done for 10 feet ; need to determine rate for 1 square feet ; i.e. 1/10
rate for 1/10 will be
1/10 = r*0.6
r=1/6
option A

ssr300
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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