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One worker strings 2 violins in 3 minutes. All workers strin

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

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One worker strings 2 violins in 3 minutes. All workers strin [#permalink] New post 15 Jul 2018, 03:01
Expert's post
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Question Stats:

45% (01:28) correct 54% (01:20) wrong based on 11 sessions
One worker strings 2 violins in 3 minutes. All workers string violins at the same constant rate.

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.
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

CAT Tests
Re: One worker strings 2 violins in 3 minutes. All workers strin [#permalink] New post 15 Jul 2018, 03:39
Expert's post
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.
_________________

Sandy
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Re: One worker strings 2 violins in 3 minutes. All workers strin   [#permalink] 15 Jul 2018, 03:39
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One worker strings 2 violins in 3 minutes. All workers strin

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