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Working at the same constant rate, 2 artisans can produce 10 sets of

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Working at the same constant rate, 2 artisans can produce 10 sets of [#permalink]

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New post 08 Aug 2017, 01:20
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Working at the same constant rate, 2 artisans can produce 10 sets of silverware in an hour. How many sets of silverware could 6 artisans create in 5 hours at the same constant rate?

A. 30
B. 50
C. 60
D. 100
E. 150
[Reveal] Spoiler: OA

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Re: Working at the same constant rate, 2 artisans can produce 10 sets of [#permalink]

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New post 08 Aug 2017, 01:35
Bunuel wrote:
Working at the same constant rate, 2 artisans can produce 10 sets of silverware in an hour. How many sets of silverware could 6 artisans create in 5 hours at the same constant rate?

A. 30
B. 50
C. 60
D. 100
E. 150


2 artisans = 1 hr = 10 sets
6 artisans = 1 hr = 30 sets
6 artisans = 5 hr = 150 sets

E
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Working at the same constant rate, 2 artisans can produce 10 sets of [#permalink]

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New post 08 Aug 2017, 01:50
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Bunuel wrote:
Working at the same constant rate, 2 artisans can produce 10 sets of silverware in an hour. How many sets of silverware could 6 artisans create in 5 hours at the same constant rate?

A. 30
B. 50
C. 60
D. 100
E. 150


\(2\) artisans can produce \(10\) sets of silverware in \(1\) hour.

\(2\) artisans \(= 1\) hr \(= 10\) sets

Therefore \(1\) artisan can produce \(5\) sets of silverware in \(1\) hour.

\(1\) artisan \(= 1\) hr \(= 5\) sets

\(6\) artisans can produce sets of silverware in \(1\) hour;

\(6\) artisans \(= 1\) hr \(= 6*5 = 30\) sets

\(6\) artisans can produce sets of silverware in \(5\) hours;

\(6\) artisans \(= 5\) hr \(= 30*5 = 150\) sets.

Answer (E)...

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Working at the same constant rate, 2 artisans can produce 10 sets of [#permalink]

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New post 08 Aug 2017, 06:05
Bunuel wrote:
Working at the same constant rate, 2 artisans can produce 10 sets of silverware in an hour. How many sets of silverware could 6 artisans create in 5 hours at the same constant rate?

A. 30
B. 50
C. 60
D. 100
E. 150

2 * r * 1 = 10 sets (work)

Hence rate of each artisan is \(\frac{10}{(2*1)}\) = 5 (sets in one hour)

Six artisans in five hours at that rate will produce 6*5*5 = 150 sets

Answer E

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Re: Working at the same constant rate, 2 artisans can produce 10 sets of [#permalink]

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New post 10 Aug 2017, 10:45
Bunuel wrote:
Working at the same constant rate, 2 artisans can produce 10 sets of silverware in an hour. How many sets of silverware could 6 artisans create in 5 hours at the same constant rate?

A. 30
B. 50
C. 60
D. 100
E. 150


We are given that the rate of 2 artisans is 10 sets of silverware per hour. We can create the following proportion to determine the rate of 6 artisans:

10/2 = r/6

5 = r/6

30 = r

The rate of the 6 artisans is 30 sets per hour. Thus, those 6 artisans can produce 30 x 5 = 150 sets of silverware in 5 hours.

Answer: E
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Re: Working at the same constant rate, 2 artisans can produce 10 sets of   [#permalink] 10 Aug 2017, 10:45
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