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A factory has three types of machines – A, B, and C – each of which wo
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21 Jul 2016, 04:42

2

7

00:00

A

B

C

D

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Difficulty:

85% (hard)

Question Stats:

49% (02:01) correct 51% (02:06) wrong based on 355 sessions

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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

Re: A factory has three types of machines – A, B, and C – each of which wo
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22 Nov 2016, 07:02

5

Top Contributor

1

Bunuel wrote:

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

Target question:How many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?

Statement 1: 7 Machine A's and 11 Machine B's can produce 250 widgets per hour No information about Machine C NOT SUFFICIENT

Statement 2: 8 Machine A's and 22 Machine C's can produce 600 widgets per hour No information about Machine B NOT SUFFICIENT

Statements 1 and 2 combined Statement 1: 7 Machine A's and 11 Machine B's can produce 250 widgets per hour Statement 2: 8 Machine A's and 22 Machine C's can produce 600 widgets per hour

Hmmm, I see that we're given info about 11 Machine Bs and 22 Machine Cs. Perhaps we might gain some useful information, if we create an EQUIVALENT statement such that Machines B and C produce the SAME number of widgets.

Take statement 2 and HALVE everything to get: 4 Machine As and 11 Machine Cs can produce 300 widgets per hour Combine this new (equivalent) info with statement 1 to see we have two useful pieces of info:

7 Machine A's and 11 Machine B's can produce 250 widgets per hour 4 Machine As and 11 Machine Cs can produce 300 widgets per hour

So, if we ADD all of the machines we get: 11 Machine A's, 11 Machine B's and 11 Machine C's can produce 550 widgets per hour

Now divide everything by 11 to get: 1 Machine A, 1 Machine B and 1 Machine C can produce 50 widgets per hour So, 1 Machine A, 1 Machine B and 1 Machine C can produce 400 widgets in 8 hours Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Re: A factory has three types of machines – A, B, and C – each of which wo
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21 Jul 2016, 06:43

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Require both the options. (7A+11B) = 250 widgets per hr Multiple by 2 14A+22B = 500 widgets per hr ---(1) Using 2nd statement 8A+22C= 600 widgets per hr ---(2)

Add (1) &(2) 22A+22B+22C=1100 A+B+C= 50 widgets per hr.

A factory has three types of machines – A, B, and C – each of which wo
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11 Nov 2016, 19:35

Hello Friends, Bunuel, Vyshak, VeritasPrepKarishma, msk0657 and others Shouldn't this question mention: Working together how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?

Re: A factory has three types of machines – A, B, and C – each of which wo
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12 Nov 2016, 03:37

manishtank1988 wrote:

Hello Friends, Bunuel, Vyshak, VeritasPrepKarishma, msk0657 and others Shouldn't this question mention: Working together how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?

Please clarify, thanks in advance.

This is exactly what the question is asking. No need to over-complicate...
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Re: A factory has three types of machines – A, B, and C – each of which wo
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14 Nov 2016, 18:54

Bunuel wrote:

manishtank1988 wrote:

Hello Friends, Bunuel, Vyshak, VeritasPrepKarishma, msk0657 and others Shouldn't this question mention: Working together how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?

Please clarify, thanks in advance.

This is exactly what the question is asking. No need to over-complicate...

Re: A factory has three types of machines – A, B, and C – each of which wo
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06 Feb 2018, 12:37

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