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A factory has three types of machines

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A factory has three types of machines

by VJesus12 » Sun Apr 14, 2019 10:06 am

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B

C

D

E

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A factory has three types of machines - A, B, and C - each of which works at its own constant rate. How many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?

(1) 7 Machine As and 11 Machine Bs can produce 250 widgets per hour
(2) 8 Machine As and 22 Machine Cs can produce 600 widgets per hour

[spoiler]OA=C[/spoiler]

Source: Veritas Prep
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Source: — Data Sufficiency |
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by swerve » Sun Apr 14, 2019 2:41 pm

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A

B

C

D

E

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Require both the options.

\(7A+11B = 250\) widgets per hour
Multiplying by \(2\)

\(14A+22B = 500\) widgets per hour \(\cdots(1)\)

Using the 2nd statement,

\(8A+22C= 600\) widgets per hour \(\cdots(2)\)

Adding \((1)\) and \((2)\)

\(22A+22B+22C=1100\)

\(A+B+C= 50\) widgets per hour.

Therefore, __C__ is the correct option.
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