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Three factory employees work at constant rates to produce

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

CAT Tests
Three factory employees work at constant rates to produce [#permalink] New post 09 Dec 2017, 19:29
Expert's post
00:00

Question Stats:

100% (03:48) correct 0% (00:00) wrong based on 1 sessions
Three factory employees work at constant rates to produce DVDs. Employee A produces y DVDs in \(\frac{2}{5}\) of an hour. Employee B produces y DVDs in \(\frac{3}{5}\) of an hour. Employee C produces y DVDs in \(\frac{5}{4}\) of an hour. Which of the following combinations of employees can produce at least 5y DVDs in 2 hours?
Indicate all such statements.

A. Employee A alone
B. Employee B alone
C. Employee C alone
D. Employees A and B together
E. Employees B and C together
F. Employees A, B, and C together
G. Even if all three employees work together, they will not finish the job

[Reveal] Spoiler: OA
A, D, F


Drill 4
Question: 8
Page: 532

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

CAT Tests
Re: Three factory employees work at constant rates to produce [#permalink] New post 29 Dec 2017, 16:43
Expert's post
Explanation

Plug in for y. If y = 30, then Employee A produces 30 DVDs in \(\frac{2}{5}\) of an hour, so using a Rate Pie you can figure out that his rate is 75 DVDs per hour. Employee B produces 30 DVDs in of \(\frac{3}{5}\) an hour, so his rate is 50 DVDs per hour. Employee C produces 30 DVDs \(\frac{5}{4}\) in of an hour, so his rate is 24 DVDs per hour.

5y = 150, so you need to find the combination of employees that can produce 150 DVDs in 2 hours. Employee A will produce exactly 150 DVDs in 2 hours, so choice (A) is a credited answer. If you know that Employee A alone can produce 5y DVDs in 2 hours, then choices (D) and (F) must also be correct answers, and choice (G) must be incorrect.

Employee B will only produce 100 DVDs in 2 hours, so you can eliminate choice (B). Employee C will only produce 48 DVDs in 2 hours, so you can also eliminate choice (C). If Employees B and C work together for 2 hours, they will produce 148 DVDs, so choice (E) is incorrect.
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Sandy
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Re: Three factory employees work at constant rates to produce   [#permalink] 29 Dec 2017, 16:43
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Three factory employees work at constant rates to produce

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