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

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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One worker strings 2 violins in 3 minutes. All workers strin [#permalink]  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
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

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

Re: One worker strings 2 violins in 3 minutes. All workers strin [#permalink]  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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