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21 Jul 2016, 04:42
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
59% (01:55) correct
41%
(02:10)
wrong
based on 1101
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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
(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
Updated on: 02 Apr 2020, 07:56
Originally posted by BrentGMATPrepNow on 22 Nov 2016, 07:02.
Last edited by BrentGMATPrepNow on 02 Apr 2020, 07:56, edited 1 time in total.
Last edited by BrentGMATPrepNow on 02 Apr 2020, 07:56, edited 1 time in total.
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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
Answer:
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.
Sent from my GT-N7100 using GMAT Club Forum mobile app
(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.
Sent from my GT-N7100 using GMAT Club Forum mobile app
