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

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If it is assumed that each of the n production workers in a factory as  [#permalink]

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New post Updated on: 31 Oct 2018, 23:59
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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 31 Oct 2018, 23:55.
Last edited by Bunuel on 31 Oct 2018, 23:59, 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]

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New post 01 Nov 2018, 00:01
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.

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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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New post 11 Nov 2018, 22:33
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]

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New post 11 Nov 2018, 22:41
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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Re: If it is assumed that each of the n production workers in a factory as &nbs [#permalink] 11 Nov 2018, 22:41
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