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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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Updated on: 01 Nov 2018, 00:59
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63% (01:42) correct 37% (01:51) wrong based on 105 sessions

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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.
EDITED.
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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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01 Nov 2018, 01:01
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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11 Nov 2018, 23:33
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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11 Nov 2018, 23:41
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   [#permalink] 11 Nov 2018, 23:41
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