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# At a metal sheet factory, if a sheet of width 3 feet is moving continu

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
At a metal sheet factory, if a sheet of width 3 feet is moving continu  [#permalink]

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27 Sep 2018, 05:30
00:00

Difficulty:

45% (medium)

Question Stats:

54% (02:03) correct 46% (02:23) wrong based on 32 sessions

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At a metal sheet factory, if a sheet of width 3 feet is moving continuously through a belt conveyor at a constant speed of 1080 feet per hour, how many seconds does it take for an area of 1.8 square foot of the metal sheet to move through the conveyor?

(A) 2
(B) 2.4
(C) 3
(D) 3.6
(E) 4

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Joined: 20 Feb 2015
Posts: 756
Concentration: Strategy, General Management
Re: At a metal sheet factory, if a sheet of width 3 feet is moving continu  [#permalink]

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27 Sep 2018, 08:37
Bunuel wrote:
At a metal sheet factory, if a sheet of width 3 feet is moving continuously through a belt conveyor at a constant speed of 1080 feet per hour, how many seconds does it take for an area of 1.8 square foot of the metal sheet to move through the conveyor?

(A) 2
(B) 2.4
(C) 3
(D) 3.6
(E) 4

1080 feet per hour = 1080/60*60 feet per second = 3/10 feet per second
area required = 1.8 square foot = 9/5 square foot

in 1 second area of sheet , which moved through = 3/10 * 3 = 9/10
in 2 seconds .... = 3/10 * 2 * 3 =9/5 square foot

therefore,
A
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Re: At a metal sheet factory, if a sheet of width 3 feet is moving continu  [#permalink]

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02 Oct 2018, 19:55
Bunuel wrote:
At a metal sheet factory, if a sheet of width 3 feet is moving continuously through a belt conveyor at a constant speed of 1080 feet per hour, how many seconds does it take for an area of 1.8 square foot of the metal sheet to move through the conveyor?

(A) 2
(B) 2.4
(C) 3
(D) 3.6
(E) 4

The length of the metal sheet is 1.8/3 = 0.6 ft. Since the conveyor moves at a constant speed of 1080 ft/hr, its rate per second is 1080/3600 = 0.3 ft/sec. Therefore, a metal sheet of length of 0.6 ft would take 0.6/0.3 = 2 seconds to move through the conveyor.

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Re: At a metal sheet factory, if a sheet of width 3 feet is moving continu   [#permalink] 02 Oct 2018, 19:55
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