GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
One worker strings 2 violins in 3 minutes. All workers strin
[#permalink]
15 Jul 2018, 03:01
15 Jul 2018, 03:01
1
Expert Reply
7
Bookmarks
00:00
Question Stats:
80% (01:42) correct
19% (01:40) wrong based on 126 sessions
Hide Show timer Statistics
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
[#permalink]
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
[#permalink]
12 Apr 2024, 00:38
12 Apr 2024, 00:38
Hello from the GRE Prep Club BumpBot!
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.
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.
