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pushpitkc
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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AkshdeepS
pushpitkc
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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nguyenkhanhlinh
AkshdeepS
pushpitkc
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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