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One worker strings 2 violins in 3 minutes. All workers strin
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15 Jul 2018, 03:01
15 Jul 2018, 03:01
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Expert Reply
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Question Stats:
80% (01:42) correct
20% (01:40) wrong based on 125 sessions
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One worker strings 2 violins in 3 minutes. All workers string violins at the same constant rate.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of minutes required for 12 workers to string 720 violins |
The number of violins that 5 workers can string in 24 minutes |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: One worker strings 2 violins in 3 minutes. All workers strin
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15 Jul 2018, 03:39
15 Jul 2018, 03:39
1
Expert Reply
Explanation
First, figure out the individual rate for 1 worker: 2 violins ÷ 3 minutes = violin per minute. (Always divide work by time to get a rate.) Now apply W = RT separately to Quantity A and Quantity B.
Quantity A:
R = 12 × the individual rate =\(12 \times \frac{2}{3}\) = 8 violins per minute
\(W = 720\) violins
Solve for T in W = RT:
\(720 = 8T\)
\(90 = T\)
Quantity B:
R = 5 × the individual rate = \(5 \times \frac{2}{3}\) = \(\frac{10}{3}\) violins per minute
T = 24 minutes
Solve for W in W = RT:
\(W = (24) \times \frac{10}{3}\)
\(W = 80\)
Since 90 > 80, Quantity A is greater.
First, figure out the individual rate for 1 worker: 2 violins ÷ 3 minutes = violin per minute. (Always divide work by time to get a rate.) Now apply W = RT separately to Quantity A and Quantity B.
Quantity A:
R = 12 × the individual rate =\(12 \times \frac{2}{3}\) = 8 violins per minute
\(W = 720\) violins
Solve for T in W = RT:
\(720 = 8T\)
\(90 = T\)
Quantity B:
R = 5 × the individual rate = \(5 \times \frac{2}{3}\) = \(\frac{10}{3}\) violins per minute
T = 24 minutes
Solve for W in W = RT:
\(W = (24) \times \frac{10}{3}\)
\(W = 80\)
Since 90 > 80, Quantity A is greater.
Re: One worker strings 2 violins in 3 minutes. All workers strin
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12 Apr 2024, 00:38
12 Apr 2024, 00:38
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
