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If it is assumed that each of the n production workers in a factory as

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pushpitkc
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If it is assumed that each of the n production workers in a factory as [#permalink] New post   Updated on: 01 Nov 2018, 00:59
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If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)
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Originally posted by pushpitkc on 01 Nov 2018, 00:55.
Last edited by Bunuel on 01 Nov 2018, 00:59, edited 1 time in total.
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Re: If it is assumed that each of the n production workers in a factory as [#permalink] New post   11 Nov 2018, 23:33
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pushpitkc wrote:
If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)



Rate of 1 worker =\(\frac{1}{t}\)

Say, work = W

Then, Workers * Rate * Time = Total Work

\(n * \frac{1}{t} * 7.5 = W\)

\(\frac{450n}{t}\) = W

Hence A
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Re: If it is assumed that each of the n production workers in a factory as [#permalink] New post   01 Nov 2018, 01:01
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pushpitkc wrote:
If it is assumed that each of the n production workers in a factory assembles one instrument every
t minutes, how many instruments does the factory assemble in 7.5 hours of production?

A. \(\frac{450n}{t}\)
B. \(\frac{450t}{n}\)
C. \(450nt\)
D. \(\frac{7.5tn}{60}\)
E. \(\frac{7.5n}{60t}\)


One worker assembles 1 instrument in t minutes.

One worker assembles 60/t instruments in one hour. ( Unitary method or if you put t = 60 mins it comes to 1 instrument per hour)

One worker assembles 60/t * 7.5 instruments in given time.

One worker assembles 450 / t instruments then n workers would n times that or 450n/t instruments.

Hence Option (A) is our choice.

Best,
Gladi
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Re: If it is assumed that each of the n production workers in a factory as [#permalink] New post   11 Nov 2018, 23:41
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pushpitkc wrote:
If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)



Another option is to assume values. Say 1 worker assembles 1 instrument in 30 mins (t = 30).
In 7.5 hrs, 1 worker will assemble 15 instruments.
Put n = 1 and t = 30 in options. You should get 15 from the correct answer.

Only option (A) gives you 15.
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If it is assumed that each of the n production workers in a factory as [#permalink] New post   02 May 2021, 02:25
AkshdeepS wrote:
pushpitkc wrote:
If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)



Rate of 1 worker =\(\frac{1}{t}\)

Say, work = W

Then, Workers * Rate * Time = Total Work

\(n * \frac{1}{t} * 7.5 = W\)

\(\frac{450n}{t}\) = W

Hence A

I want to ask for a moment why 1 / t is the worker ratio
and "Workers * Rate * Time = Total Work" Can you tell me about this , it seems the shortest and easiest to do
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Re: If it is assumed that each of the n production workers in a factory as [#permalink] New post   03 May 2021, 05:10
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nguyenkhanhlinh wrote:
AkshdeepS wrote:
pushpitkc wrote:
If it is assumed that each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production?


A. \(\frac{450n}{t}\)

B. \(\frac{450t}{n}\)

C. \(450nt\)

D. \(\frac{7.5tn}{60}\)

E. \(\frac{7.5n}{60t}\)



Rate of 1 worker =\(\frac{1}{t}\)

Say, work = W

Then, Workers * Rate * Time = Total Work

\(n * \frac{1}{t} * 7.5 = W\)

\(\frac{450n}{t}\) = W

Hence A

I want to ask for a moment why 1 / t is the worker ratio
and "Workers * Rate * Time = Total Work" Can you tell me about this , it seems the shortest and easiest to do


Alright ,

1 worker is cutting 60 apples in 60 minutes. What will be his rate of cutting?

Work = Time * Rate * No. of workers

Rate = Work / (Time * No. of workers)

Rate = 60 / (60 * 1)

Rate = 1/1 or 1 apple per minute

But time is given as "t" in the question and not exactly in minutes or hours.

Therefore, Rate = \(\frac{1(work-instrument) }{ [t(time) * 1(no. of worker)}\)
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Re: If it is assumed that each of the n production workers in a factory as [#permalink] New post   15 Dec 2023, 06:33
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Re: If it is assumed that each of the n production workers in a factory as [#permalink]
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