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07 Apr 2021, 07:15
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x: 33
y: 23
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
87% (01:54) correct
13%
(02:27)
wrong
based on 381
sessions
History
Date
Time
Result
Not Attempted Yet
Machine A produces x notebooks per hour, and machine B produces y notebooks per hour. Working together at a consistent rate for 8 hours, machines A and B produced 448 notebooks. Machine A produced more than 1/2 of all the notebooks.
In the table, select x and y for values that are jointly consistent with the information given. Make only two selections, one in each column.
In the table, select x and y for values that are jointly consistent with the information given. Make only two selections, one in each column.
| x | y | |
| 23 | ||
| 28 | ||
| 33 | ||
| 58 | ||
| 62 | ||
| 68 |
ShowHide Answer
Official Answer
x: 33
y: 23
02 Mar 2022, 08:22
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X = 33 & Y = 23
Rate of A = X
Rate of B = Y
Both worked for 8 hours
(X+Y)*8 = 448
X+Y = 56
It is mentioned in the statement that A did more than half of the notebooks.
The value of X should be greater than 28, and the value of Y should be less than 28 to satisfy X+Y = 56 (X = Y = 28 is not possible, because A did more than B)
Now, if we substitute X = 23, Y = 33. Not possible (Since A >B)
X = 28 , No value is there for Y to take. Not possible.
X = 33, Y = 23. Gives a sum of 56. Satisfies the condition A>B
X+Y = 56, so, no need to check the remaining 3 options.
Hope this helps.
Rate of A = X
Rate of B = Y
Both worked for 8 hours
(X+Y)*8 = 448
X+Y = 56
It is mentioned in the statement that A did more than half of the notebooks.
The value of X should be greater than 28, and the value of Y should be less than 28 to satisfy X+Y = 56 (X = Y = 28 is not possible, because A did more than B)
Now, if we substitute X = 23, Y = 33. Not possible (Since A >B)
X = 28 , No value is there for Y to take. Not possible.
X = 33, Y = 23. Gives a sum of 56. Satisfies the condition A>B
X+Y = 56, so, no need to check the remaining 3 options.
Hope this helps.
27 Sep 2024, 00:49
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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