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

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Math Expert
Joined: 02 Sep 2009
Posts: 54696
Working at the same constant rate, 2 artisans can produce 10 sets of  [#permalink]

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08 Aug 2017, 01:20
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Difficulty:

5% (low)

Question Stats:

93% (01:07) correct 7% (02:04) wrong based on 86 sessions

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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

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

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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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08 Aug 2017, 01:50
1
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.

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

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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

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

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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.

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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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